131517364524 has 384 divisors, whose sum is σ = 393826406400. Its totient is φ = 33246720000.

The previous prime is 131517364519. The next prime is 131517364541. The reversal of 131517364524 is 425463715131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 870975849 + ... + 870975999.

It is an arithmetic number, because the mean of its divisors is an integer number (1025589600).

Almost surely, 2^131517364524 is an apocalyptic number.

131517364524 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 131517364524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196913203200).

131517364524 is an abundant number, since it is smaller than the sum of its proper divisors (262309041876).

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

131517364524 is a wasteful number, since it uses less digits than its factorization.

131517364524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The spelling of 131517364524 in words is "one hundred thirty-one billion, five hundred seventeen million, three hundred sixty-four thousand, five hundred twenty-four".