149585920 has 128 divisors (see below), whose sum is σ = 396355680. Its totient is φ = 53739520.

The previous prime is 149585911. The next prime is 149585921. The reversal of 149585920 is 29585941.

149585920 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 (128).

It is not an unprimeable number, because it can be changed into a prime (149585921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1802199 + ... + 1802281.

Almost surely, 2^149585920 is an apocalyptic number.

149585920 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 149585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198177840).

149585920 is an abundant number, since it is smaller than the sum of its proper divisors (246769760).

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

149585920 is an frugal number, since it uses more digits than its factorization.

149585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The square root of 149585920 is about 12230.5322860454. The cubic root of 149585920 is about 530.8399166088.

The spelling of 149585920 in words is "one hundred forty-nine million, five hundred eighty-five thousand, nine hundred twenty".