137379104 has 48 divisors (see below), whose sum is σ = 282885120. Its totient is φ = 65594880.

The previous prime is 137379103. The next prime is 137379133. The reversal of 137379104 is 401973731.

137379104 is digitally balanced in base 3, because in such base 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 (137379103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77492 + ... + 79244.

It is an arithmetic number, because the mean of its divisors is an integer number (5893440).

Almost surely, 2^137379104 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 137379104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141442560).

137379104 is an abundant number, since it is smaller than the sum of its proper divisors (145506016).

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

137379104 is a wasteful number, since it uses less digits than its factorization.

137379104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 137379104 is about 11720.8832431690. The cubic root of 137379104 is about 515.9887424181.

The spelling of 137379104 in words is "one hundred thirty-seven million, three hundred seventy-nine thousand, one hundred four".