138133307 has 8 divisors (see below), whose sum is σ = 149311680. Its totient is φ = 127033920.

The previous prime is 138133283. The next prime is 138133309. The reversal of 138133307 is 703331831.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 138133307 - 2²⁴ = 121356091 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 138133307.

It is not an unprimeable number, because it can be changed into a prime (138133309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16082 + ... + 23127.

It is an arithmetic number, because the mean of its divisors is an integer number (18663960).

Almost surely, 2^138133307 is an apocalyptic number.

138133307 is a deficient number, since it is larger than the sum of its proper divisors (11178373).

138133307 is a wasteful number, since it uses less digits than its factorization.

138133307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39493.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 138133307 is about 11753.0126776074. The cubic root of 138133307 is about 516.9312687433.

The spelling of 138133307 in words is "one hundred thirty-eight million, one hundred thirty-three thousand, three hundred seven".