149675904 has 256 divisors, whose sum is σ = 528768000. Its totient is φ = 40753152.

The previous prime is 149675887. The next prime is 149675917. The reversal of 149675904 is 409576941.

149675904 is a `hidden beast` number, since 1 + 496 + 75 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 149675904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556282 + ... + 556550.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2^149675904 is an apocalyptic number.

149675904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

149675904 is an abundant number, since it is smaller than the sum of its proper divisors (379092096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149675904 is a wasteful number, since it uses less digits than its factorization.

149675904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 149675904 is about 12234.2103954444. The cubic root of 149675904 is about 530.9463382205.

The spelling of 149675904 in words is "one hundred forty-nine million, six hundred seventy-five thousand, nine hundred four".