131901194880 has 1536 divisors, whose sum is σ = 611837452800. Its totient is φ = 26568622080.

The previous prime is 131901194879. The next prime is 131901194911. The reversal of 131901194880 is 88491109131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 253169020 + ... + 253169540.

It is an arithmetic number, because the mean of its divisors is an integer number (398331675).

Almost surely, 2^131901194880 is an apocalyptic number.

131901194880 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 131901194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305918726400).

131901194880 is an abundant number, since it is smaller than the sum of its proper divisors (479936257920).

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

131901194880 is a wasteful number, since it uses less digits than its factorization.

131901194880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 131901194880 in words is "one hundred thirty-one billion, nine hundred one million, one hundred ninety-four thousand, eight hundred eighty".