131791104 has 144 divisors (see below), whose sum is σ = 407164800. Its totient is φ = 41969664.

The previous prime is 131791067. The next prime is 131791147. The reversal of 131791104 is 401197131.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158562 + ... + 159390.

Almost surely, 2^131791104 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 131791104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203582400).

131791104 is an abundant number, since it is smaller than the sum of its proper divisors (275373696).

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

131791104 is an equidigital number, since it uses as much as digits as its factorization.

131791104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 131791104 is about 11480.0306619800. The cubic root of 131791104 is about 508.8956032526.

The spelling of 131791104 in words is "one hundred thirty-one million, seven hundred ninety-one thousand, one hundred four".