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131425152 = 2731492297
BaseRepresentation
bin1111101010101…
…10001110000000
3100011022002102020
413311112032000
5232121101102
621012521440
73154044465
oct765261600
9304262366
10131425152
1168205731
1238020280
13212c7381
141365166c
15b810bbc
hex7d56380

131425152 has 64 divisors (see below), whose sum is σ = 351594000. Its totient is φ = 43495424.

The previous prime is 131425141. The next prime is 131425199. The reversal of 131425152 is 251524131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56068 + ... + 58364.

Almost surely, 2131425152 is an apocalyptic number.

131425152 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 131425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175797000).

131425152 is an abundant number, since it is smaller than the sum of its proper divisors (220168848).

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

131425152 is a wasteful number, since it uses less digits than its factorization.

131425152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2451 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 131425152 is about 11464.0809487721. The cubic root of 131425152 is about 508.4241399603.

Adding to 131425152 its reverse (251524131), we get a palindrome (382949283).

The spelling of 131425152 in words is "one hundred thirty-one million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 298 384 447 596 894 1192 1788 2297 2384 3576 4594 4768 6891 7152 9188 9536 13782 14304 18376 19072 27564 28608 36752 55128 57216 73504 110256 147008 220512 294016 342253 441024 684506 882048 1026759 1369012 2053518 2738024 4107036 5476048 8214072 10952096 16428144 21904192 32856288 43808384 65712576 131425152