137500757 has 12 divisors (see below), whose sum is σ = 142106148. Its totient is φ = 133036800.

The previous prime is 137500733. The next prime is 137500787. The reversal of 137500757 is 757005731.

It can be written as a sum of positive squares in 6 ways, for example, as 68128516 + 69372241 = 8254^2 + 8329^2 .

It is not a de Polignac number, because 137500757 - 2⁸ = 137500501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137500787) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263657 + ... + 264177.

It is an arithmetic number, because the mean of its divisors is an integer number (11842179).

Almost surely, 2^137500757 is an apocalyptic number.

It is an amenable number.

137500757 is a deficient number, since it is larger than the sum of its proper divisors (4605391).

137500757 is an equidigital number, since it uses as much as digits as its factorization.

137500757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 25725, while the sum is 35.

The square root of 137500757 is about 11726.0716781026. The cubic root of 137500757 is about 516.1410049217.

The spelling of 137500757 in words is "one hundred thirty-seven million, five hundred thousand, seven hundred fifty-seven".