131199104 has 64 divisors (see below), whose sum is σ = 279276000. Its totient is φ = 61212672.

The previous prime is 131199071. The next prime is 131199109. The reversal of 131199104 is 401991131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131199109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177167 + ... + 177905.

Almost surely, 2^131199104 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 131199104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139638000).

131199104 is an abundant number, since it is smaller than the sum of its proper divisors (148076896).

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

131199104 is an equidigital number, since it uses as much as digits as its factorization.

131199104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 29.

The square root of 131199104 is about 11454.2177384577. The cubic root of 131199104 is about 508.1324803794.

The spelling of 131199104 in words is "one hundred thirty-one million, one hundred ninety-nine thousand, one hundred four".