131161600 has 60 divisors (see below), whose sum is σ = 324994824. Its totient is φ = 52459520.

The previous prime is 131161573. The next prime is 131161607. The reversal of 131161600 is 6161131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131161607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7677 + ... + 17923.

Almost surely, 2^131161600 is an apocalyptic number.

131161600 is a gapful number since it is divisible by the number (10) 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 131161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162497412).

131161600 is an abundant number, since it is smaller than the sum of its proper divisors (193833224).

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

131161600 is an equidigital number, since it uses as much as digits as its factorization.

131161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10275 (or 10254 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 131161600 is about 11452.5804952421. The cubic root of 131161600 is about 508.0840582583.

The spelling of 131161600 in words is "one hundred thirty-one million, one hundred sixty-one thousand, six hundred".