137339072 has 56 divisors (see below), whose sum is σ = 306299616. Its totient is φ = 60622848.

The previous prime is 137339071. The next prime is 137339113. The reversal of 137339072 is 270933731.

137339072 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 (137339071) 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, 15548 + ... + 22724.

It is an arithmetic number, because the mean of its divisors is an integer number (5469636).

Almost surely, 2^137339072 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 137339072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153149808).

137339072 is an abundant number, since it is smaller than the sum of its proper divisors (168960544).

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

137339072 is a wasteful number, since it uses less digits than its factorization.

137339072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7225 (or 7215 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 35.

The square root of 137339072 is about 11719.1753976122. The cubic root of 137339072 is about 515.9386181817.

The spelling of 137339072 in words is "one hundred thirty-seven million, three hundred thirty-nine thousand, seventy-two".