131361484800 has 1248 divisors, whose sum is σ = 553312141312. Its totient is φ = 26754416640.

The previous prime is 131361484789. The next prime is 131361484819. The reversal of 131361484800 is 8484163131.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1034342337 + ... + 1034342463.

Almost surely, 2^131361484800 is an apocalyptic number.

131361484800 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 131361484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276656070656).

131361484800 is an abundant number, since it is smaller than the sum of its proper divisors (421950656512).

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

131361484800 is a wasteful number, since it uses less digits than its factorization.

131361484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 131361484800 in words is "one hundred thirty-one billion, three hundred sixty-one million, four hundred eighty-four thousand, eight hundred".