137705520 has 80 divisors (see below), whose sum is σ = 428186880. Its totient is φ = 36609792.

The previous prime is 137705489. The next prime is 137705551. The reversal of 137705520 is 25507731.

It is an interprime number because it is at equal distance from previous prime (137705489) and next prime (137705551).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 104707 + ... + 106013.

It is an arithmetic number, because the mean of its divisors is an integer number (5352336).

Almost surely, 2^137705520 is an apocalyptic number.

137705520 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 137705520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214093440).

137705520 is an abundant number, since it is smaller than the sum of its proper divisors (290481360).

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

137705520 is a wasteful number, since it uses less digits than its factorization.

137705520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 137705520 is about 11734.7995296042. The cubic root of 137705520 is about 516.3970863286.

The spelling of 137705520 in words is "one hundred thirty-seven million, seven hundred five thousand, five hundred twenty".