131396539763400 has 192 divisors, whose sum is σ = 408390441338880. Its totient is φ = 34947840364800.

The previous prime is 131396539763389. The next prime is 131396539763417. The reversal of 131396539763400 is 4367935693131.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 932699767 + ... + 932840633.

It is an arithmetic number, because the mean of its divisors is an integer number (2127033548640).

Almost surely, 2^{131396539763400} is an apocalyptic number.

131396539763400 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 131396539763400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204195220669440).

131396539763400 is an abundant number, since it is smaller than the sum of its proper divisors (276993901575480).

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

131396539763400 is a wasteful number, since it uses less digits than its factorization.

131396539763400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144924 (or 144915 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 60.

The spelling of 131396539763400 in words is "one hundred thirty-one trillion, three hundred ninety-six billion, five hundred thirty-nine million, seven hundred sixty-three thousand, four hundred".