131540131132398 has 192 divisors, whose sum is σ = 334193259516480. Its totient is φ = 37111103078400.

The previous prime is 131540131132331. The next prime is 131540131132433. The reversal of 131540131132398 is 893231131045131.

131540131132398 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 4 + 0 + 1 + 311 + 323 + 9 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1362778 + ... + 16276898.

It is an arithmetic number, because the mean of its divisors is an integer number (1740589893315).

Almost surely, 2^{131540131132398} is an apocalyptic number.

131540131132398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131540131132398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167096629758240).

131540131132398 is an abundant number, since it is smaller than the sum of its proper divisors (202653128384082).

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

131540131132398 is a wasteful number, since it uses less digits than its factorization.

131540131132398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14914243 (or 14914240 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 131540131132398 in words is "one hundred thirty-one trillion, five hundred forty billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred ninety-eight".