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132136543012144 = 241119319281137341
BaseRepresentation
bin11110000010110101101111…
…101101010100010100110000
3122022212010111212121211122211
4132002311233231110110300
5114304411120002342034
61145010405001341504
736555356500521166
oct3602655755242460
9568763455554584
10132136543012144
113911487a812aa0
12129a0b44a97894
1358965654217a8
14248b62b0b7236
151042294a34d64
hex782d6fb54530

132136543012144 has 160 divisors (see below), whose sum is σ = 303506394347520. Its totient is φ = 55059056640000.

The previous prime is 132136543012129. The next prime is 132136543012147. The reversal of 132136543012144 is 441210345631231.

It is a junction number, because it is equal to n+sod(n) for n = 132136543012097 and 132136543012106.

It is not an unprimeable number, because it can be changed into a prime (132136543012147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962036914 + ... + 962174254.

It is an arithmetic number, because the mean of its divisors is an integer number (1896914964672).

Almost surely, 2132136543012144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132136543012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151753197173760).

132136543012144 is an abundant number, since it is smaller than the sum of its proper divisors (171369851335376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132136543012144 is a wasteful number, since it uses less digits than its factorization.

132136543012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146691 (or 146685 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

Adding to 132136543012144 its reverse (441210345631231), we get a palindrome (573346888643375).

The spelling of 132136543012144 in words is "one hundred thirty-two trillion, one hundred thirty-six billion, five hundred forty-three million, twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 31 38 44 62 76 88 124 152 176 209 248 304 341 418 496 589 682 836 1178 1364 1672 2356 2728 3344 4712 5456 6479 9281 9424 12958 18562 25916 37124 51832 74248 102091 103664 137341 148496 176339 204182 274682 287711 352678 408364 549364 575422 705356 816728 1098728 1150844 1410712 1510751 1633456 1939729 2197456 2301688 2609479 2821424 3021502 3164821 3879458 4257571 4603376 5218958 5466509 6043004 6329642 7758916 8515142 10437916 10933018 12086008 12659284 15517832 17030284 20875832 21866036 24172016 25318568 28704269 31035664 34060568 41751664 43732072 46833281 50637136 57408538 60131599 68121136 80893849 87464144 93666562 114817076 120263198 161787698 187333124 229634152 240526396 323575396 374666248 459268304 481052792 647150792 749332496 889832339 962105584 1274661821 1294301584 1779664678 2549323642 3559329356 5098647284 7118658712 10197294568 14021280031 14237317424 20394589136 24218574599 28042560062 39514516451 48437149198 56085120124 79029032902 96874298396 112170240248 158058065804 193748596792 224340480496 266404320589 316116131608 387497193584 434659680961 532808641178 632232263216 750775812569 869319361922 1065617282356 1501551625138 1738638723844 2131234564712 3003103250276 3477277447688 4262469129424 6006206500552 6954554895376 8258533938259 12012413001104 16517067876518 33034135753036 66068271506072 132136543012144