149673984 has 96 divisors (see below), whose sum is σ = 422800560. Its totient is φ = 46923776.

The previous prime is 149673947. The next prime is 149674003. The reversal of 149673984 is 489376941.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103732 + ... + 105164.

Almost surely, 2^149673984 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 149673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211400280).

149673984 is an abundant number, since it is smaller than the sum of its proper divisors (273126576).

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

149673984 is a wasteful number, since it uses less digits than its factorization.

149673984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1455 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 149673984 is about 12234.1319267041. The cubic root of 149673984 is about 530.9440679345.

The spelling of 149673984 in words is "one hundred forty-nine million, six hundred seventy-three thousand, nine hundred eighty-four".