137852520 has 128 divisors (see below), whose sum is σ = 450455040. Its totient is φ = 33546240.

The previous prime is 137852513. The next prime is 137852521. The reversal of 137852520 is 25258731.

137852520 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137852521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150865 + ... + 151775.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2^137852520 is an apocalyptic number.

137852520 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 137852520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225227520).

137852520 is an abundant number, since it is smaller than the sum of its proper divisors (312602520).

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

137852520 is a wasteful number, since it uses less digits than its factorization.

137852520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 137852520 is about 11741.0612808213. The cubic root of 137852520 is about 516.5807714764.

The spelling of 137852520 in words is "one hundred thirty-seven million, eight hundred fifty-two thousand, five hundred twenty".