149705920 has 224 divisors, whose sum is σ = 451640448. Its totient is φ = 46006272.

The previous prime is 149705911. The next prime is 149705923. The reversal of 149705920 is 29507941.

149705920 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 (224).

It is a self number, because there is not a number n which added to its sum of digits gives 149705920.

It is not an unprimeable number, because it can be changed into a prime (149705923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1543312 + ... + 1543408.

It is an arithmetic number, because the mean of its divisors is an integer number (2016252).

Almost surely, 2^149705920 is an apocalyptic number.

149705920 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 149705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225820224).

149705920 is an abundant number, since it is smaller than the sum of its proper divisors (301934528).

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

149705920 is a wasteful number, since it uses less digits than its factorization.

149705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 149705920 is about 12235.4370579886. The cubic root of 149705920 is about 530.9818278343.

The spelling of 149705920 in words is "one hundred forty-nine million, seven hundred five thousand, nine hundred twenty".