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132153331032552 = 23317769507782963
BaseRepresentation
bin11110000011000101011000…
…010110100010000111101000
3122022220201211212020122020110
4132003011120112202013220
5114310200010221020202
61145022222511054320
736556522511402124
oct3603053026420750
9568821755218213
10132153331032552
1139120a05157225
12129a424b2113a0
13589800c524c8b
14248c380976584
1510429287d826c
hex7831585a21e8

132153331032552 has 128 divisors (see below), whose sum is σ = 350345755267200. Its totient is φ = 41397299970048.

The previous prime is 132153331032551. The next prime is 132153331032557. The reversal of 132153331032552 is 255230133351231.

It is a self number, because there is not a number n which added to its sum of digits gives 132153331032552.

It is not an unprimeable number, because it can be changed into a prime (132153331032551) 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, 1592877423 + ... + 1592960385.

It is an arithmetic number, because the mean of its divisors is an integer number (2737076213025).

Almost surely, 2132153331032552 is an apocalyptic number.

132153331032552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132153331032552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175172877633600).

132153331032552 is an abundant number, since it is smaller than the sum of its proper divisors (218192424234648).

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

132153331032552 is a wasteful number, since it uses less digits than its factorization.

132153331032552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88835 (or 88831 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 39.

Adding to 132153331032552 its reverse (255230133351231), we get a palindrome (387383464383783).

The spelling of 132153331032552 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, three hundred thirty-one million, thirty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 769 1538 2307 3076 4614 5077 6152 9228 10154 13073 15231 18456 20308 26146 30462 39219 40616 52292 60924 78438 82963 86309 104584 121848 156876 165926 172618 248889 258927 313752 331852 345236 497778 517854 663704 690472 995556 1035708 1410371 1991112 2071416 2820742 3904213 4231113 5641484 7808426 8462226 11282968 11712639 15616852 16924452 23425278 31233704 33848904 46850556 63798547 66371621 93701112 127597094 132743242 191395641 199114863 255194188 265486484 382791282 398229726 421203151 510388376 530972968 765582564 796459452 842406302 1084575299 1263609453 1531165128 1592918904 1684812604 2169150598 2527218906 3253725897 3369625208 4338301196 5054437812 6507451794 7160453567 8676602392 10108875624 13014903588 14320907134 21481360701 26029807176 28641814268 42962721402 57283628536 85925442804 171850885608 323905223119 647810446238 971715669357 1295620892476 1943431338714 2591241784952 3886862677428 5506388793023 7773725354856 11012777586046 16519166379069 22025555172092 33038332758138 44051110344184 66076665516276 132153331032552