131962581135 has 64 divisors (see below), whose sum is σ = 292488514560. Its totient is φ = 54841587840.

The previous prime is 131962581131. The next prime is 131962581161. The reversal of 131962581135 is 531185269131.

131962581135 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 62 + 581 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 131962581135 - 2² = 131962581131 is a prime.

It is a super-2 number, since 2×131962581135² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131962581131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6337012 + ... + 6357801.

It is an arithmetic number, because the mean of its divisors is an integer number (4570133040).

Almost surely, 2^131962581135 is an apocalyptic number.

131962581135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131962581135 is an abundant number, since it is smaller than the sum of its proper divisors (160525933425).

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

131962581135 is a wasteful number, since it uses less digits than its factorization.

131962581135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12694845 (or 12694839 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The spelling of 131962581135 in words is "one hundred thirty-one billion, nine hundred sixty-two million, five hundred eighty-one thousand, one hundred thirty-five".