131742865296 has 405 divisors, whose sum is σ = 447193019091. Its totient is φ = 36098947584.

The previous prime is 131742865201. The next prime is 131742865301. The reversal of 131742865296 is 692568247131.

It is a happy number.

The square root of 131742865296 is 362964.

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

131742865296 is a `hidden beast` number, since 1 + 3 + 1 + 74 + 286 + 5 + 296 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21093495696 + 110649369600 = 145236^2 + 332640^2 .

Its product of digits (4354560) is a multiple of the sum of its prime factors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 884180230 + ... + 884180378.

Almost surely, 2^131742865296 is an apocalyptic number.

131742865296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131742865296 is the 362964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131742865296

131742865296 is an abundant number, since it is smaller than the sum of its proper divisors (315450153795).

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

131742865296 is a wasteful number, since it uses less digits than its factorization.

131742865296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 190 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 131742865296 in words is "one hundred thirty-one billion, seven hundred forty-two million, eight hundred sixty-five thousand, two hundred ninety-six".