131512976900640 has 384 divisors, whose sum is σ = 468067898592000. Its totient is φ = 34482341634048.

The previous prime is 131512976900611. The next prime is 131512976900677. The reversal of 131512976900640 is 46009679215131.

131512976900640 is a `hidden beast` number, since 1 + 3 + 1 + 512 + 9 + 7 + 69 + 0 + 0 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67866462 + ... + 69777378.

It is an arithmetic number, because the mean of its divisors is an integer number (1218926819250).

Almost surely, 2^{131512976900640} is an apocalyptic number.

131512976900640 is a gapful number since it is divisible by the number (10) 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 131512976900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234033949296000).

131512976900640 is an abundant number, since it is smaller than the sum of its proper divisors (336554921691360).

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

131512976900640 is a wasteful number, since it uses less digits than its factorization.

131512976900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911209 (or 1911195 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 131512976900640 in words is "one hundred thirty-one trillion, five hundred twelve billion, nine hundred seventy-six million, nine hundred thousand, six hundred forty".