149920960 has 224 divisors, whose sum is σ = 449445888. Its totient is φ = 46448640.

The previous prime is 149920951. The next prime is 149920993. The reversal of 149920960 is 69029941.

149920960 is digitally balanced in base 2, 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180417 + ... + 1180543.

Almost surely, 2^149920960 is an apocalyptic number.

149920960 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 149920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224722944).

149920960 is an abundant number, since it is smaller than the sum of its proper divisors (299524928).

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

149920960 is a wasteful number, since it uses less digits than its factorization.

149920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 149920960 is about 12244.2214942396. The cubic root of 149920960 is about 531.2359431575.

The spelling of 149920960 in words is "one hundred forty-nine million, nine hundred twenty thousand, nine hundred sixty".