138893601 has 48 divisors (see below), whose sum is σ = 237791232. Its totient is φ = 70556640.

The previous prime is 138893593. The next prime is 138893627. The reversal of 138893601 is 106398831.

It is not a de Polignac number, because 138893601 - 2³ = 138893593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138893601.

It is not an unprimeable number, because it can be changed into a prime (138893201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118846 + ... + 120008.

It is an arithmetic number, because the mean of its divisors is an integer number (4953984).

Almost surely, 2^138893601 is an apocalyptic number.

138893601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

138893601 is a deficient number, since it is larger than the sum of its proper divisors (98897631).

138893601 is a wasteful number, since it uses less digits than its factorization.

138893601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 138893601 is about 11785.3129360234. The cubic root of 138893601 is about 517.8779409093.

The spelling of 138893601 in words is "one hundred thirty-eight million, eight hundred ninety-three thousand, six hundred one".