131138958132 has 864 divisors, whose sum is σ = 459765196800. Its totient is φ = 31274449920.

The previous prime is 131138958127. The next prime is 131138958169. The reversal of 131138958132 is 231859831131.

131138958132 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 38 + 9 + 581 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1796424048 + ... + 1796424120.

Almost surely, 2^131138958132 is an apocalyptic number.

131138958132 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 131138958132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229882598400).

131138958132 is an abundant number, since it is smaller than the sum of its proper divisors (328626238668).

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

131138958132 is a wasteful number, since it uses less digits than its factorization.

131138958132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 148 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 131138958132 in words is "one hundred thirty-one billion, one hundred thirty-eight million, nine hundred fifty-eight thousand, one hundred thirty-two".