138752757 has 70 divisors (see below), whose sum is σ = 246438710. Its totient is φ = 77623920.

The previous prime is 138752753. The next prime is 138752771. The reversal of 138752757 is 757257831.

It can be written as a sum of positive squares in only one way, i.e., 96059601 + 42693156 = 9801^2 + 6534^2 .

It is not a de Polignac number, because 138752757 - 2² = 138752753 is a prime.

It is a Duffinian number.

Its product of digits (411600) is a multiple of the sum of its prime factors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138752753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 10673283 + ... + 10673295.

It is an arithmetic number, because the mean of its divisors is an integer number (3520553).

Almost surely, 2^138752757 is an apocalyptic number.

It is an amenable number.

138752757 is a deficient number, since it is larger than the sum of its proper divisors (107685953).

138752757 is an frugal number, since it uses more digits than its factorization.

138752757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 27 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The square root of 138752757 is about 11779.3360169409. The cubic root of 138752757 is about 517.7028316438.

The spelling of 138752757 in words is "one hundred thirty-eight million, seven hundred fifty-two thousand, seven hundred fifty-seven".