131599104 has 216 divisors, whose sum is σ = 440400240. Its totient is φ = 34578432.

The previous prime is 131599081. The next prime is 131599109. The reversal of 131599104 is 401995131.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131599109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489082 + ... + 489350.

It is an arithmetic number, because the mean of its divisors is an integer number (2038890).

Almost surely, 2^131599104 is an apocalyptic number.

131599104 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 131599104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220200120).

131599104 is an abundant number, since it is smaller than the sum of its proper divisors (308801136).

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

131599104 is a wasteful number, since it uses less digits than its factorization.

131599104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 131599104 is about 11471.6652670831. The cubic root of 131599104 is about 508.6483547916.

The spelling of 131599104 in words is "one hundred thirty-one million, five hundred ninety-nine thousand, one hundred four".