131372160 has 128 divisors (see below), whose sum is σ = 426980160. Its totient is φ = 34344960.

The previous prime is 131372149. The next prime is 131372161. The reversal of 131372160 is 61273131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131372160.

It is not an unprimeable number, because it can be changed into a prime (131372161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 101115 + ... + 102405.

Almost surely, 2^131372160 is an apocalyptic number.

131372160 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 131372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213490080).

131372160 is an abundant number, since it is smaller than the sum of its proper divisors (295608000).

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

131372160 is a wasteful number, since it uses less digits than its factorization.

131372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 131372160 is about 11461.7694968971. The cubic root of 131372160 is about 508.3557967917.

The spelling of 131372160 in words is "one hundred thirty-one million, three hundred seventy-two thousand, one hundred sixty".