137750013 has 18 divisors (see below), whose sum is σ = 208006526. Its totient is φ = 87837552.

The previous prime is 137749933. The next prime is 137750023. The reversal of 137750013 is 310057731.

It can be written as a sum of positive squares in only one way, i.e., 118853604 + 18896409 = 10902^2 + 4347^2 .

It is not a de Polignac number, because 137750013 - 2⁸ = 137749757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137750023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9706 + ... + 19227.

Almost surely, 2^137750013 is an apocalyptic number.

It is an amenable number.

137750013 is a deficient number, since it is larger than the sum of its proper divisors (70256513).

137750013 is a wasteful number, since it uses less digits than its factorization.

137750013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28985 (or 28959 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 137750013 is about 11736.6951481241. The cubic root of 137750013 is about 516.4526967391.

The spelling of 137750013 in words is "one hundred thirty-seven million, seven hundred fifty thousand, thirteen".