131153747500896 has 192 divisors, whose sum is σ = 356490535403520. Its totient is φ = 42176077816320.

The previous prime is 131153747500883. The next prime is 131153747500907. The reversal of 131153747500896 is 698005747351131.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2484746121 + ... + 2484798903.

It is an arithmetic number, because the mean of its divisors is an integer number (1856721538560).

Almost surely, 2^{131153747500896} is an apocalyptic number.

131153747500896 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 131153747500896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178245267701760).

131153747500896 is an abundant number, since it is smaller than the sum of its proper divisors (225336787902624).

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

131153747500896 is a wasteful number, since it uses less digits than its factorization.

131153747500896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55409 (or 55401 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 60.

The spelling of 131153747500896 in words is "one hundred thirty-one trillion, one hundred fifty-three billion, seven hundred forty-seven million, five hundred thousand, eight hundred ninety-six".