131500014400 has 42 divisors (see below), whose sum is σ = 323572226870. Its totient is φ = 52600005120.

The previous prime is 131500014397. The next prime is 131500014403. The reversal of 131500014400 is 4410005131.

It is an interprime number because it is at equal distance from previous prime (131500014397) and next prime (131500014403).

It can be written as a sum of positive squares in 3 ways, for example, as 25265738304 + 106234276096 = 158952^2 + 325936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131500014403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41092155 + ... + 41095354.

Almost surely, 2^131500014400 is an apocalyptic number.

131500014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131500014400 is an abundant number, since it is smaller than the sum of its proper divisors (192072212470).

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

131500014400 is an equidigital number, since it uses as much as digits as its factorization.

131500014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82187531 (or 82187516 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 131500014400 its reverse (4410005131), we get a palindrome (135910019531).

The spelling of 131500014400 in words is "one hundred thirty-one billion, five hundred million, fourteen thousand, four hundred".