137709728 has 48 divisors (see below), whose sum is σ = 294746760. Its totient is φ = 62954496.

The previous prime is 137709727. The next prime is 137709731. The reversal of 137709728 is 827907731.

It can be written as a sum of positive squares in 4 ways, for example, as 126067984 + 11641744 = 11228^2 + 3412^2 .

It is not an unprimeable number, because it can be changed into a prime (137709721) 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, 43826 + ... + 46862.

Almost surely, 2^137709728 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 137709728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147373380).

137709728 is an abundant number, since it is smaller than the sum of its proper divisors (157037032).

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

137709728 is a wasteful number, since it uses less digits than its factorization.

137709728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 44.

The square root of 137709728 is about 11734.9788240116. The cubic root of 137709728 is about 516.4023462892.

The spelling of 137709728 in words is "one hundred thirty-seven million, seven hundred nine thousand, seven hundred twenty-eight".