138437667 has 40 divisors (see below), whose sum is σ = 227208960. Its totient is φ = 83611440.

The previous prime is 138437633. The next prime is 138437707. The reversal of 138437667 is 766734831.

It is not a de Polignac number, because 138437667 - 2⁶ = 138437603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138437617) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33442 + ... + 37352.

It is an arithmetic number, because the mean of its divisors is an integer number (5680224).

Almost surely, 2^138437667 is an apocalyptic number.

138437667 is a deficient number, since it is larger than the sum of its proper divisors (88771293).

138437667 is a wasteful number, since it uses less digits than its factorization.

138437667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3956 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 138437667 is about 11765.9537224995. The cubic root of 138437667 is about 517.3106553681.

The spelling of 138437667 in words is "one hundred thirty-eight million, four hundred thirty-seven thousand, six hundred sixty-seven".