131532632082400 has 144 divisors (see below), whose sum is σ = 338552093622960. Its totient is φ = 49763156889600.

The previous prime is 131532632082373. The next prime is 131532632082407. The reversal of 131532632082400 is 4280236235131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131532632082407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2365870 + ... + 16390930.

It is an arithmetic number, because the mean of its divisors is an integer number (2351056205715).

Almost surely, 2^{131532632082400} is an apocalyptic number.

131532632082400 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 131532632082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169276046811480).

131532632082400 is an abundant number, since it is smaller than the sum of its proper divisors (207019461540560).

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

131532632082400 is a wasteful number, since it uses less digits than its factorization.

131532632082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14025717 (or 14025704 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 131532632082400 in words is "one hundred thirty-one trillion, five hundred thirty-two billion, six hundred thirty-two million, eighty-two thousand, four hundred".