137656080 has 60 divisors (see below), whose sum is σ = 462297420. Its totient is φ = 36708096.

The previous prime is 137656073. The next prime is 137656117. The reversal of 137656080 is 80656731.

137656080 is a `hidden beast` number, since 13 + 7 + 6 + 560 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37015056 + 100641024 = 6084^2 + 10032^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 94875 + ... + 96314.

It is an arithmetic number, because the mean of its divisors is an integer number (7704957).

Almost surely, 2^137656080 is an apocalyptic number.

137656080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137656080 is an abundant number, since it is smaller than the sum of its proper divisors (324641340).

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

137656080 is a wasteful number, since it uses less digits than its factorization.

137656080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191208 (or 191199 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 137656080 is about 11732.6927855459. The cubic root of 137656080 is about 516.3352787653.

The spelling of 137656080 in words is "one hundred thirty-seven million, six hundred fifty-six thousand, eighty".