137403520 has 128 divisors (see below), whose sum is σ = 354605040. Its totient is φ = 50724864.

The previous prime is 137403517. The next prime is 137403521. The reversal of 137403520 is 25304731.

It can be written as a sum of positive squares in 8 ways, for example, as 113039424 + 24364096 = 10632^2 + 4936^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (137403521) 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, 794154 + ... + 794326.

Almost surely, 2^137403520 is an apocalyptic number.

137403520 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 137403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177302520).

137403520 is an abundant number, since it is smaller than the sum of its proper divisors (217201520).

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

137403520 is a wasteful number, since it uses less digits than its factorization.

137403520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 137403520 is about 11721.9247566259. The cubic root of 137403520 is about 516.0193090144.

The spelling of 137403520 in words is "one hundred thirty-seven million, four hundred three thousand, five hundred twenty".