131437931136 has 128 divisors (see below), whose sum is σ = 371038268160. Its totient is φ = 41082716160.

The previous prime is 131437931101. The next prime is 131437931147. The reversal of 131437931136 is 631139734131.

131437931136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1731940 + ... + 1806236.

It is an arithmetic number, because the mean of its divisors is an integer number (2898736470).

Almost surely, 2^131437931136 is an apocalyptic number.

131437931136 is a gapful number since it is divisible by the number (16) 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 131437931136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185519134080).

131437931136 is an abundant number, since it is smaller than the sum of its proper divisors (239600337024).

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

131437931136 is a wasteful number, since it uses less digits than its factorization.

131437931136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74602 (or 74590 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The spelling of 131437931136 in words is "one hundred thirty-one billion, four hundred thirty-seven million, nine hundred thirty-one thousand, one hundred thirty-six".