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131206152 = 23371170999
BaseRepresentation
bin1111101001000…
…00110000001000
3100010212222000010
413310200300020
5232042044102
621004111520
73152143140
oct764406010
9303788003
10131206152
1168076140
1237b355a0
132124b79c
14135d5920
15b7bad6c
hex7d20c08

131206152 has 64 divisors (see below), whose sum is σ = 408960000. Its totient is φ = 34079040.

The previous prime is 131206139. The next prime is 131206169. The reversal of 131206152 is 251602131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33652 + ... + 37347.

It is an arithmetic number, because the mean of its divisors is an integer number (6390000).

Almost surely, 2131206152 is an apocalyptic number.

131206152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131206152 is an abundant number, since it is smaller than the sum of its proper divisors (277753848).

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

131206152 is a wasteful number, since it uses less digits than its factorization.

131206152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71026 (or 71022 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 131206152 is about 11454.5253939218. The cubic root of 131206152 is about 508.1415791549.

Adding to 131206152 its reverse (251602131), we get a palindrome (382808283).

The spelling of 131206152 in words is "one hundred thirty-one million, two hundred six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 70999 141998 212997 283996 425994 496993 567992 780989 851988 993986 1490979 1561978 1703976 1987972 2342967 2981958 3123956 3975944 4685934 5466923 5963916 6247912 9371868 10933846 11927832 16400769 18743736 21867692 32801538 43735384 65603076 131206152