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132151130154654 = 231337191308977611
BaseRepresentation
bin11110000011000011010101…
…001010110110011010011110
3122022220112011110220110100020
4132003003111022312122132
5114310131003304422104
61145021220250413010
736556414125265362
oct3603032512663236
9568815143813306
10132151130154654
113911aa85888076
12129a3936131166
135897a4b576b70
14248c21254b2a2
15104284a4962d9
hex7830d52b669e

132151130154654 has 128 divisors (see below), whose sum is σ = 293955412746240. Its totient is φ = 39342533068800.

The previous prime is 132151130154643. The next prime is 132151130154671. The reversal of 132151130154654 is 456451031151231.

132151130154654 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1702698309 + ... + 1702775919.

It is an arithmetic number, because the mean of its divisors is an integer number (2296526662080).

Almost surely, 2132151130154654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132151130154654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146977706373120).

132151130154654 is an abundant number, since it is smaller than the sum of its proper divisors (161804282591586).

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

132151130154654 is a wasteful number, since it uses less digits than its factorization.

132151130154654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80946.

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 132151130154654 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, one hundred thirty million, one hundred fifty-four thousand, six hundred fifty-four".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 191 222 382 481 573 962 1146 1443 2483 2886 3089 4966 6178 7067 7449 9267 14134 14898 18534 21201 40157 42402 77611 80314 91871 114293 120471 155222 183742 228586 232833 240942 275613 342879 465666 551226 589999 685758 1008943 1179998 1485809 1769997 2017886 2871607 2971618 3026829 3539994 4457427 5743214 6053658 7669987 8614821 8914854 14823701 15339974 17229642 21829963 23009961 29647402 37330891 43659926 44471103 46019922 65489889 74661782 88942206 111992673 130979778 192708113 223985346 239740379 283789519 385416226 479480758 548476937 567579038 578124339 719221137 851368557 1096953874 1156248678 1438442274 1645430811 1702737114 3116624927 3290861622 6233249854 7130200181 8870394023 9349874781 14260400362 17740788046 18699749562 21390600543 26611182069 42781201086 45790412389 53222364138 91580824778 115315122299 137371237167 230630244598 274742474334 345945366897 595275361057 691890733794 1190550722114 1694245258393 1785826083171 3388490516786 3571652166342 5082735775179 10165471550358 22025188359109 44050376718218 66075565077327 132151130154654