149944320 has 144 divisors (see below), whose sum is σ = 519999480. Its totient is φ = 39960576.

The previous prime is 149944309. The next prime is 149944331. The reversal of 149944320 is 23449941.

It is an interprime number because it is at equal distance from previous prime (149944309) and next prime (149944331).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 91347 + ... + 92973.

Almost surely, 2^149944320 is an apocalyptic number.

149944320 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 149944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259999740).

149944320 is an abundant number, since it is smaller than the sum of its proper divisors (370055160).

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

149944320 is a wasteful number, since it uses less digits than its factorization.

149944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 149944320 is about 12245.1753764493. The cubic root of 149944320 is about 531.2635333115.

The spelling of 149944320 in words is "one hundred forty-nine million, nine hundred forty-four thousand, three hundred twenty".