131961507502500 has 1215 divisors, whose sum is σ = 465496858169343. Its totient is φ = 31495830912000.

The previous prime is 131961507502477. The next prime is 131961507502507. The reversal of 131961507502500 is 5205705169131.

The square root of 131961507502500 is 11487450.

It is a perfect power (a square), and thus also a powerful number.

131961507502500 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 615 + 0 + 7 + 5 + 0 + 25 + 0 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 91535410647396 + 40426096855104 = 9567414^2 + 6358152^2 .

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

It is not an unprimeable number, because it can be changed into a prime (131961507502507) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 963222682432 + ... + 963222682568.

Almost surely, 2^{131961507502500} is an apocalyptic number.

131961507502500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131961507502500 is the 11487450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131961507502500

131961507502500 is an abundant number, since it is smaller than the sum of its proper divisors (333535350666843).

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

131961507502500 is a wasteful number, since it uses less digits than its factorization.

131961507502500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 131961507502500 in words is "one hundred thirty-one trillion, nine hundred sixty-one billion, five hundred seven million, five hundred two thousand, five hundred".