137755680 has 96 divisors (see below), whose sum is σ = 436472064. Its totient is φ = 36519936.

The previous prime is 137755669. The next prime is 137755727. The reversal of 137755680 is 86557731.

It is a tau number, because it is divible by the number of its divisors (96).

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, 91897 + ... + 93383.

It is an arithmetic number, because the mean of its divisors is an integer number (4546584).

Almost surely, 2^137755680 is an apocalyptic number.

137755680 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 137755680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218236032).

137755680 is an abundant number, since it is smaller than the sum of its proper divisors (298716384).

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

137755680 is a wasteful number, since it uses less digits than its factorization.

137755680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 137755680 is about 11736.9365679465. The cubic root of 137755680 is about 516.4597788855.

The spelling of 137755680 in words is "one hundred thirty-seven million, seven hundred fifty-five thousand, six hundred eighty".