131757489408000 has 384 divisors, whose sum is σ = 457442014498560. Its totient is φ = 33607702937600.

The previous prime is 131757489407903. The next prime is 131757489408101. The reversal of 131757489408000 is 804984757131.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13934452 + ... + 21393548.

It is an arithmetic number, because the mean of its divisors is an integer number (1191255246090).

Almost surely, 2^{131757489408000} is an apocalyptic number.

131757489408000 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 131757489408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228721007249280).

131757489408000 is an abundant number, since it is smaller than the sum of its proper divisors (325684525090560).

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

131757489408000 is an equidigital number, since it uses as much as digits as its factorization.

131757489408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7459160 (or 7459130 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 131757489408000 in words is "one hundred thirty-one trillion, seven hundred fifty-seven billion, four hundred eighty-nine million, four hundred eight thousand".