153938385 has 24 divisors (see below), whose sum is σ = 270487464. Its totient is φ = 80974080.

The previous prime is 153938377. The next prime is 153938413. The reversal of 153938385 is 583839351.

153938385 is a `hidden beast` number, since 1 + 539 + 38 + 3 + 85 = 666.

153938385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13373649 + 140564736 = 3657^2 + 11856^2 .

It is not a de Polignac number, because 153938385 - 2³ = 153938377 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 153938385.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20146 + ... + 26715.

It is an arithmetic number, because the mean of its divisors is an integer number (11270311).

Almost surely, 2^153938385 is an apocalyptic number.

153938385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153938385 is a deficient number, since it is larger than the sum of its proper divisors (116549079).

153938385 is a wasteful number, since it uses less digits than its factorization.

153938385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46945 (or 46942 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 153938385 is about 12407.1908585304. The cubic root of 153938385 is about 535.9393460456.

The spelling of 153938385 in words is "one hundred fifty-three million, nine hundred thirty-eight thousand, three hundred eighty-five".