137118080 has 64 divisors (see below), whose sum is σ = 357616080. Its totient is φ = 49858560.

The previous prime is 137118077. The next prime is 137118089. The reversal of 137118080 is 80811731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137118089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2699 + ... + 16778.

Almost surely, 2^137118080 is an apocalyptic number.

137118080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137118080 is an abundant number, since it is smaller than the sum of its proper divisors (220498000).

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

137118080 is a wasteful number, since it uses less digits than its factorization.

137118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19507 (or 19495 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 29.

The square root of 137118080 is about 11709.7429519183. The cubic root of 137118080 is about 515.6617377191.

The spelling of 137118080 in words is "one hundred thirty-seven million, one hundred eighteen thousand, eighty".