131553654400 has 96 divisors (see below), whose sum is σ = 371404219680. Its totient is φ = 45104102400.

The previous prime is 131553654391. The next prime is 131553654409. The reversal of 131553654400 is 4456355131.

It is an interprime number because it is at equal distance from previous prime (131553654391) and next prime (131553654409).

It is a self number, because there is not a number n which added to its sum of digits gives 131553654400.

It is not an unprimeable number, because it can be changed into a prime (131553654409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2914066 + ... + 2958865.

It is an arithmetic number, because the mean of its divisors is an integer number (3868793955).

Almost surely, 2^131553654400 is an apocalyptic number.

131553654400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131553654400 is an abundant number, since it is smaller than the sum of its proper divisors (239850565280).

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

131553654400 is an equidigital number, since it uses as much as digits as its factorization.

131553654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872962 (or 5872945 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 131553654400 in words is "one hundred thirty-one billion, five hundred fifty-three million, six hundred fifty-four thousand, four hundred".