149329824 has 96 divisors (see below), whose sum is σ = 450043776. Its totient is φ = 42470400.

The previous prime is 149329811. The next prime is 149329837. The reversal of 149329824 is 428923941.

It is an interprime number because it is at equal distance from previous prime (149329811) and next prime (149329837).

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 (42).

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, 212674 + ... + 213374.

It is an arithmetic number, because the mean of its divisors is an integer number (4687956).

Almost surely, 2^149329824 is an apocalyptic number.

149329824 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 149329824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225021888).

149329824 is an abundant number, since it is smaller than the sum of its proper divisors (300713952).

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

149329824 is a wasteful number, since it uses less digits than its factorization.

149329824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1030 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 149329824 is about 12220.0582650002. The cubic root of 149329824 is about 530.5368051161.

The spelling of 149329824 in words is "one hundred forty-nine million, three hundred twenty-nine thousand, eight hundred twenty-four".