131538231360 has 336 divisors, whose sum is σ = 457963414272. Its totient is φ = 34651238400.

The previous prime is 131538231359. The next prime is 131538231421. The reversal of 131538231360 is 63132835131.

131538231360 is a `hidden beast` number, since 1 + 31 + 5 + 38 + 231 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87053005 + ... + 87054515.

It is an arithmetic number, because the mean of its divisors is an integer number (1362986352).

Almost surely, 2^131538231360 is an apocalyptic number.

131538231360 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 131538231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228981707136).

131538231360 is an abundant number, since it is smaller than the sum of its proper divisors (326425182912).

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

131538231360 is a wasteful number, since it uses less digits than its factorization.

131538231360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 131538231360 in words is "one hundred thirty-one billion, five hundred thirty-eight million, two hundred thirty-one thousand, three hundred sixty".