138288375 has 48 divisors (see below), whose sum is σ = 252461664. Its totient is φ = 72816000.

The previous prime is 138288361. The next prime is 138288391. The reversal of 138288375 is 573882831.

It is not a de Polignac number, because 138288375 - 2¹⁰ = 138287351 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 138288375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92635 + ... + 94115.

It is an arithmetic number, because the mean of its divisors is an integer number (5259618).

Almost surely, 2^138288375 is an apocalyptic number.

138288375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138288375 is a deficient number, since it is larger than the sum of its proper divisors (114173289).

138288375 is a wasteful number, since it uses less digits than its factorization.

138288375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1572 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 138288375 is about 11759.6077740714. The cubic root of 138288375 is about 517.1246315241.

The spelling of 138288375 in words is "one hundred thirty-eight million, two hundred eighty-eight thousand, three hundred seventy-five".