131523969024 has 320 divisors, whose sum is σ = 449140190400. Its totient is φ = 37572968448.

The previous prime is 131523969019. The next prime is 131523969053. The reversal of 131523969024 is 420969325131.

131523969024 is a `hidden beast` number, since 1 + 3 + 152 + 396 + 90 + 24 = 666.

It is a super-2 number, since 2×131523969024² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18575917 + ... + 18582995.

It is an arithmetic number, because the mean of its divisors is an integer number (1403563095).

Almost surely, 2^131523969024 is an apocalyptic number.

131523969024 is a gapful number since it is divisible by the number (14) 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 131523969024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224570095200).

131523969024 is an abundant number, since it is smaller than the sum of its proper divisors (317616221376).

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

131523969024 is an frugal number, since it uses more digits than its factorization.

131523969024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7128 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 131523969024 in words is "one hundred thirty-one billion, five hundred twenty-three million, nine hundred sixty-nine thousand, twenty-four".