138477825 has 36 divisors (see below), whose sum is σ = 258822720. Its totient is φ = 70641120.

The previous prime is 138477821. The next prime is 138477827. The reversal of 138477825 is 528774831.

It is not a de Polignac number, because 138477825 - 2² = 138477821 is a prime.

It is a super-2 number, since 2×138477825² = 38352216033461250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (138477821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8205 + ... + 18554.

It is an arithmetic number, because the mean of its divisors is an integer number (7189520).

Almost surely, 2^138477825 is an apocalyptic number.

138477825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138477825 is a deficient number, since it is larger than the sum of its proper divisors (120344895).

138477825 is a wasteful number, since it uses less digits than its factorization.

138477825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26798 (or 26790 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 138477825 is about 11767.6601327537. The cubic root of 138477825 is about 517.3606710258.

The spelling of 138477825 in words is "one hundred thirty-eight million, four hundred seventy-seven thousand, eight hundred twenty-five".