131342938560 has 392 divisors, whose sum is σ = 493623020880. Its totient is φ = 33180254208.

The previous prime is 131342938477. The next prime is 131342938577. The reversal of 131342938560 is 65839243131.

131342938560 is a `hidden beast` number, since 1 + 3 + 1 + 34 + 29 + 38 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4417504 + ... + 4447136.

Almost surely, 2^131342938560 is an apocalyptic number.

131342938560 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 131342938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246811510440).

131342938560 is an abundant number, since it is smaller than the sum of its proper divisors (362280082320).

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

131342938560 is an equidigital number, since it uses as much as digits as its factorization.

131342938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29687 (or 29662 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 131342938560 in words is "one hundred thirty-one billion, three hundred forty-two million, nine hundred thirty-eight thousand, five hundred sixty".