131457344400 has 720 divisors, whose sum is σ = 498280806400. Its totient is φ = 31979888640.

The previous prime is 131457344393. The next prime is 131457344401. The reversal of 131457344400 is 4443754131.

131457344400 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 573 + 44 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×131457344400² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (131457344401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 321411396 + ... + 321411804.

Almost surely, 2^131457344400 is an apocalyptic number.

131457344400 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 131457344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249140403200).

131457344400 is an abundant number, since it is smaller than the sum of its proper divisors (366823462000).

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

131457344400 is a wasteful number, since it uses less digits than its factorization.

131457344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 131457344400 in words is "one hundred thirty-one billion, four hundred fifty-seven million, three hundred forty-four thousand, four hundred".