138458307 has 32 divisors (see below), whose sum is σ = 208244736. Its totient is φ = 81244800.

The previous prime is 138458291. The next prime is 138458311. The reversal of 138458307 is 703854831.

It is not a de Polignac number, because 138458307 - 2⁴ = 138458291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (138458347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85033 + ... + 86645.

It is an arithmetic number, because the mean of its divisors is an integer number (6507648).

Almost surely, 2^138458307 is an apocalyptic number.

138458307 is a deficient number, since it is larger than the sum of its proper divisors (69786429).

138458307 is a wasteful number, since it uses less digits than its factorization.

138458307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 138458307 is about 11766.8307967779. The cubic root of 138458307 is about 517.3363631146.

The spelling of 138458307 in words is "one hundred thirty-eight million, four hundred fifty-eight thousand, three hundred seven".