131151104 has 72 divisors (see below), whose sum is σ = 301694400. Its totient is φ = 55738368.

The previous prime is 131151071. The next prime is 131151121. The reversal of 131151104 is 401151131.

It is a super-2 number, since 2×131151104² = 34401224160837632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291872 + ... + 292320.

It is an arithmetic number, because the mean of its divisors is an integer number (4190200).

Almost surely, 2^131151104 is an apocalyptic number.

131151104 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 131151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150847200).

131151104 is an abundant number, since it is smaller than the sum of its proper divisors (170543296).

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

131151104 is an equidigital number, since it uses as much as digits as its factorization.

131151104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 131151104 is about 11452.1222487363. The cubic root of 131151104 is about 508.0705050219.

The spelling of 131151104 in words is "one hundred thirty-one million, one hundred fifty-one thousand, one hundred four".