137042304 has 128 divisors (see below), whose sum is σ = 440640000. Its totient is φ = 36839424.

The previous prime is 137042299. The next prime is 137042329. The reversal of 137042304 is 403240731.

137042304 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 Harshad number since it is a multiple of its sum of digits (24).

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, 44197 + ... + 47195.

It is an arithmetic number, because the mean of its divisors is an integer number (3442500).

Almost surely, 2^137042304 is an apocalyptic number.

137042304 is a gapful number since it is divisible by the number (14) 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 137042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320000).

137042304 is an abundant number, since it is smaller than the sum of its proper divisors (303597696).

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

137042304 is a wasteful number, since it uses less digits than its factorization.

137042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 137042304 is about 11706.5069085530. The cubic root of 137042304 is about 515.5667296209.

The spelling of 137042304 in words is "one hundred thirty-seven million, forty-two thousand, three hundred four".