137756072 has 16 divisors (see below), whose sum is σ = 258419700. Its totient is φ = 68844160.

The previous prime is 137756071. The next prime is 137756077. The reversal of 137756072 is 270657731.

137756072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 136282276 + 1473796 = 11674^2 + 1214^2 .

It is not an unprimeable number, because it can be changed into a prime (137756071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24572 + ... + 29652.

Almost surely, 2^137756072 is an apocalyptic number.

It is an amenable number.

137756072 is a deficient number, since it is larger than the sum of its proper divisors (120663628).

137756072 is a wasteful number, since it uses less digits than its factorization.

137756072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8476 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 38.

The square root of 137756072 is about 11736.9532673518. The cubic root of 137756072 is about 516.4602687674.

The spelling of 137756072 in words is "one hundred thirty-seven million, seven hundred fifty-six thousand, seventy-two".