131250460118400 has 2304 divisors, whose sum is σ = 572546729664000. Its totient is φ = 27963036794880.

The previous prime is 131250460118347. The next prime is 131250460118429. The reversal of 131250460118400 is 4811064052131.

131250460118400 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 5 + 0 + 4 + 601 + 1 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93151496896 + ... + 93151498304.

It is an arithmetic number, because the mean of its divisors is an integer number (248501184750).

Almost surely, 2^{131250460118400} is an apocalyptic number.

131250460118400 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 131250460118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286273364832000).

131250460118400 is an abundant number, since it is smaller than the sum of its proper divisors (441296269545600).

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

131250460118400 is a wasteful number, since it uses less digits than its factorization.

131250460118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 131250460118400 in words is "one hundred thirty-one trillion, two hundred fifty billion, four hundred sixty million, one hundred eighteen thousand, four hundred".