137639424 has 160 divisors (see below), whose sum is σ = 404911584. Its totient is φ = 41287680.

The previous prime is 137639417. The next prime is 137639441. The reversal of 137639424 is 424936731.

137639424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137639424² = 37889222078103552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (108864) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

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, 1217992 + ... + 1218104.

Almost surely, 2^137639424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137639424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202455792).

137639424 is an abundant number, since it is smaller than the sum of its proper divisors (267272160).

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

137639424 is a wasteful number, since it uses less digits than its factorization.

137639424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 137639424 is about 11731.9829525959. The cubic root of 137639424 is about 516.3144528846.

The spelling of 137639424 in words is "one hundred thirty-seven million, six hundred thirty-nine thousand, four hundred twenty-four".