137627520 has 128 divisors (see below), whose sum is σ = 449159040. Its totient is φ = 35825664.

The previous prime is 137627491. The next prime is 137627521. The reversal of 137627520 is 25726731.

137627520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×137627520² = 37882668522700800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137627521) 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, 81727 + ... + 83393.

It is an arithmetic number, because the mean of its divisors is an integer number (3509055).

Almost surely, 2^137627520 is an apocalyptic number.

137627520 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 137627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224579520).

137627520 is an abundant number, since it is smaller than the sum of its proper divisors (311531520).

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

137627520 is a wasteful number, since it uses less digits than its factorization.

137627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 137627520 is about 11731.4756105104. The cubic root of 137627520 is about 516.2995676522.

The spelling of 137627520 in words is "one hundred thirty-seven million, six hundred twenty-seven thousand, five hundred twenty".