131693408 has 192 divisors, whose sum is σ = 355622400. Its totient is φ = 46448640.

The previous prime is 131693399. The next prime is 131693413. The reversal of 131693408 is 804396131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357616 + ... + 1357712.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^131693408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131693408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

131693408 is an abundant number, since it is smaller than the sum of its proper divisors (223928992).

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

131693408 is a wasteful number, since it uses less digits than its factorization.

131693408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 131693408 is about 11475.7748322281. The cubic root of 131693408 is about 508.7698250238.

The spelling of 131693408 in words is "one hundred thirty-one million, six hundred ninety-three thousand, four hundred eight".