138762153 has 20 divisors (see below), whose sum is σ = 207715860. Its totient is φ = 92316672.

The previous prime is 138762131. The next prime is 138762179. The reversal of 138762153 is 351267831.

It can be written as a sum of positive squares in 2 ways, for example, as 69006249 + 69755904 = 8307^2 + 8352^2 .

It is not a de Polignac number, because 138762153 - 2²⁵ = 105207721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138762553) 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 19 ways as a sum of consecutive naturals, for example, 45253 + ... + 48221.

It is an arithmetic number, because the mean of its divisors is an integer number (10385793).

Almost surely, 2^138762153 is an apocalyptic number.

It is an amenable number.

138762153 is a deficient number, since it is larger than the sum of its proper divisors (68953707).

138762153 is an equidigital number, since it uses as much as digits as its factorization.

138762153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3549 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 138762153 is about 11779.7348442144. The cubic root of 138762153 is about 517.7145172399.

The spelling of 138762153 in words is "one hundred thirty-eight million, seven hundred sixty-two thousand, one hundred fifty-three".