137707520 has 90 divisors (see below), whose sum is σ = 338745246. Its totient is φ = 53739520.

The previous prime is 137707513. The next prime is 137707523. The reversal of 137707520 is 25707731.

It can be written as a sum of positive squares in 3 ways, for example, as 7929856 + 129777664 = 2816^2 + 11392^2 .

It is a super-2 number, since 2×137707520² = 37926722129100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137707523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3358700 + ... + 3358740.

Almost surely, 2^137707520 is an apocalyptic number.

137707520 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 137707520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169372623).

137707520 is an abundant number, since it is smaller than the sum of its proper divisors (201037726).

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

137707520 is an frugal number, since it uses more digits than its factorization.

137707520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 32.

The square root of 137707520 is about 11734.8847459189. The cubic root of 137707520 is about 516.3995863232.

The spelling of 137707520 in words is "one hundred thirty-seven million, seven hundred seven thousand, five hundred twenty".