149760960 has 112 divisors (see below), whose sum is σ = 482230176. Its totient is φ = 39370752.

The previous prime is 149760953. The next prime is 149760991. The reversal of 149760960 is 69067941.

149760960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 69012 + ... + 71148.

Almost surely, 2^149760960 is an apocalyptic number.

149760960 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 149760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241115088).

149760960 is an abundant number, since it is smaller than the sum of its proper divisors (332469216).

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

149760960 is a wasteful number, since it uses less digits than its factorization.

149760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 149760960 is about 12237.6860557869. The cubic root of 149760960 is about 531.0468924154.

The spelling of 149760960 in words is "one hundred forty-nine million, seven hundred sixty thousand, nine hundred sixty".