138007953 has 6 divisors (see below), whose sum is σ = 199344834. Its totient is φ = 92005296.

The previous prime is 138007847. The next prime is 138007999. The reversal of 138007953 is 359700831.

It can be written as a sum of positive squares in only one way, i.e., 123810129 + 14197824 = 11127^2 + 3768^2 .

It is not a de Polignac number, because 138007953 - 2¹² = 138003857 is a prime.

It is a super-4 number, since 4×138007953⁴ (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (138000953) 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 5 ways as a sum of consecutive naturals, for example, 7667100 + ... + 7667117.

It is an arithmetic number, because the mean of its divisors is an integer number (33224139).

Almost surely, 2^138007953 is an apocalyptic number.

It is an amenable number.

138007953 is a deficient number, since it is larger than the sum of its proper divisors (61336881).

138007953 is a wasteful number, since it uses less digits than its factorization.

138007953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15334223 (or 15334220 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 138007953 is about 11747.6786217533. The cubic root of 138007953 is about 516.7748521748.

The spelling of 138007953 in words is "one hundred thirty-eight million, seven thousand, nine hundred fifty-three".