149504320 has 112 divisors (see below), whose sum is σ = 420185088. Its totient is φ = 49582080.

The previous prime is 149504317. The next prime is 149504323. The reversal of 149504320 is 23405941.

It is an interprime number because it is at equal distance from previous prime (149504317) and next prime (149504323).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149504323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68364 + ... + 70516.

Almost surely, 2^149504320 is an apocalyptic number.

149504320 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 149504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210092544).

149504320 is an abundant number, since it is smaller than the sum of its proper divisors (270680768).

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

149504320 is a wasteful number, since it uses less digits than its factorization.

149504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 149504320 is about 12227.1959172985. The cubic root of 149504320 is about 530.7433736185.

The spelling of 149504320 in words is "one hundred forty-nine million, five hundred four thousand, three hundred twenty".