137168304 has 160 divisors (see below), whose sum is σ = 450637824. Its totient is φ = 34974720.

The previous prime is 137168303. The next prime is 137168309. The reversal of 137168304 is 403861731.

137168304 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 (137168303) 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, 134902 + ... + 135914.

Almost surely, 2^137168304 is an apocalyptic number.

137168304 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 137168304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225318912).

137168304 is an abundant number, since it is smaller than the sum of its proper divisors (313469520).

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

137168304 is a wasteful number, since it uses less digits than its factorization.

137168304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 137168304 is about 11711.8872945397. The cubic root of 137168304 is about 515.7246893826.

The spelling of 137168304 in words is "one hundred thirty-seven million, one hundred sixty-eight thousand, three hundred four".