149164320 has 96 divisors (see below), whose sum is σ = 474344640. Its totient is φ = 39398400.

The previous prime is 149164319. The next prime is 149164333. The reversal of 149164320 is 23461941.

149164320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×149164320² = 44499988722124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50895 + ... + 53745.

It is an arithmetic number, because the mean of its divisors is an integer number (4941090).

Almost surely, 2^149164320 is an apocalyptic number.

149164320 is a gapful number since it is divisible by the number (10) 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 149164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237172320).

149164320 is an abundant number, since it is smaller than the sum of its proper divisors (325180320).

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

149164320 is a wasteful number, since it uses less digits than its factorization.

149164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 149164320 is about 12213.2845704995. The cubic root of 149164320 is about 530.3407326018.

The spelling of 149164320 in words is "one hundred forty-nine million, one hundred sixty-four thousand, three hundred twenty".