149904 has 40 divisors (see below), whose sum is σ = 431520. Its totient is φ = 49824.

The previous prime is 149899. The next prime is 149909. The reversal of 149904 is 409941.

It is an interprime number because it is at equal distance from previous prime (149899) and next prime (149909).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (149909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (10788).

2¹⁴⁹⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215760).

149904 is an abundant number, since it is smaller than the sum of its proper divisors (281616).

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

149904 is a wasteful number, since it uses less digits than its factorization.

149904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 149904 is about 387.1743793176. The cubic root of 149904 is about 53.1215910154.

The spelling of 149904 in words is "one hundred forty-nine thousand, nine hundred four".