131636880 has 80 divisors (see below), whose sum is σ = 453423360. Its totient is φ = 35102592.

The previous prime is 131636873. The next prime is 131636893. The reversal of 131636880 is 88636131.

131636880 is a `hidden beast` number, since 13 + 1 + 636 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131636880² = 34656536352268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28312 + ... + 32631.

It is an arithmetic number, because the mean of its divisors is an integer number (5667792).

Almost surely, 2^131636880 is an apocalyptic number.

131636880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131636880 is an abundant number, since it is smaller than the sum of its proper divisors (321786480).

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

131636880 is a wasteful number, since it uses less digits than its factorization.

131636880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60965 (or 60953 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 131636880 is about 11473.3116404986. The cubic root of 131636880 is about 508.6970199203.

The spelling of 131636880 in words is "one hundred thirty-one million, six hundred thirty-six thousand, eight hundred eighty".