131980160 has 128 divisors (see below), whose sum is σ = 352144800. Its totient is φ = 46964736.

The previous prime is 131980157. The next prime is 131980169. The reversal of 131980160 is 61089131.

It is a happy number.

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 (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131980169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241007 + ... + 241553.

Almost surely, 2^131980160 is an apocalyptic number.

131980160 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 131980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176072400).

131980160 is an abundant number, since it is smaller than the sum of its proper divisors (220164640).

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

131980160 is a wasteful number, since it uses less digits than its factorization.

131980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 131980160 is about 11488.2618354562. The cubic root of 131980160 is about 509.1388260402.

The spelling of 131980160 in words is "one hundred thirty-one million, nine hundred eighty thousand, one hundred sixty".