137885760 has 112 divisors (see below), whose sum is σ = 486460800. Its totient is φ = 36767232.

The previous prime is 137885729. The next prime is 137885767. The reversal of 137885760 is 67588731.

137885760 is a `hidden beast` number, since 1 + 3 + 78 + 8 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (137885767) 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, 661 + ... + 16619.

It is an arithmetic number, because the mean of its divisors is an integer number (4343400).

Almost surely, 2^137885760 is an apocalyptic number.

137885760 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 137885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243230400).

137885760 is an abundant number, since it is smaller than the sum of its proper divisors (348575040).

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

137885760 is a wasteful number, since it uses less digits than its factorization.

137885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15985 (or 15969 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 137885760 is about 11742.4767404496. The cubic root of 137885760 is about 516.6222887077.

The spelling of 137885760 in words is "one hundred thirty-seven million, eight hundred eighty-five thousand, seven hundred sixty".