131700400467264 has 168 divisors, whose sum is σ = 377854959775488. Its totient is φ = 43858337725440.

The previous prime is 131700400467253. The next prime is 131700400467283. The reversal of 131700400467264 is 462764004007131.

131700400467264 is a `hidden beast` number, since 1 + 3 + 170 + 0 + 400 + 4 + 6 + 72 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3559740414 + ... + 3559777410.

Almost surely, 2^{131700400467264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131700400467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188927479887744).

131700400467264 is an abundant number, since it is smaller than the sum of its proper divisors (246154559308224).

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

131700400467264 is a wasteful number, since it uses less digits than its factorization.

131700400467264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42733 (or 42720 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 131700400467264 in words is "one hundred thirty-one trillion, seven hundred billion, four hundred million, four hundred sixty-seven thousand, two hundred sixty-four".