131379772930560 has 1440 divisors, whose sum is σ = 573620477189760. Its totient is φ = 27202084208640.

The previous prime is 131379772930559. The next prime is 131379772930591. The reversal of 131379772930560 is 65039277973131.

131379772930560 is a `hidden beast` number, since 1 + 3 + 1 + 37 + 9 + 7 + 7 + 2 + 9 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×131379772930560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5522699146 + ... + 5522722934.

It is an arithmetic number, because the mean of its divisors is an integer number (398347553604).

Almost surely, 2^{131379772930560} is an apocalyptic number.

131379772930560 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 131379772930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286810238594880).

131379772930560 is an abundant number, since it is smaller than the sum of its proper divisors (442240704259200).

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

131379772930560 is a wasteful number, since it uses less digits than its factorization.

131379772930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24130 (or 24100 counting only the distinct ones).

The product of its (nonzero) digits is 45008460, while the sum is 63.

The spelling of 131379772930560 in words is "one hundred thirty-one trillion, three hundred seventy-nine billion, seven hundred seventy-two million, nine hundred thirty thousand, five hundred sixty".