149643984 has 80 divisors (see below), whose sum is σ = 453784448. Its totient is φ = 41596416.

The previous prime is 149643961. The next prime is 149643997. The reversal of 149643984 is 489346941.

It is a happy number.

149643984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6414 + ... + 18450.

Almost surely, 2^149643984 is an apocalyptic number.

149643984 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 149643984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226892224).

149643984 is an abundant number, since it is smaller than the sum of its proper divisors (304140464).

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

149643984 is a wasteful number, since it uses less digits than its factorization.

149643984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12092 (or 12086 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 149643984 is about 12232.9057872609. The cubic root of 149643984 is about 530.9085921938.

The spelling of 149643984 in words is "one hundred forty-nine million, six hundred forty-three thousand, nine hundred eighty-four".