149257920 has 336 divisors, whose sum is σ = 583752960. Its totient is φ = 32126976.

The previous prime is 149257883. The next prime is 149257921. The reversal of 149257920 is 29752941.

149257920 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 (336).

It is not an unprimeable number, because it can be changed into a prime (149257921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893677 + ... + 893843.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^149257920 is an apocalyptic number.

149257920 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 149257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291876480).

149257920 is an abundant number, since it is smaller than the sum of its proper divisors (434495040).

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

149257920 is a wasteful number, since it uses less digits than its factorization.

149257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 149257920 is about 12217.1158625921. The cubic root of 149257920 is about 530.4516382867.

The spelling of 149257920 in words is "one hundred forty-nine million, two hundred fifty-seven thousand, nine hundred twenty".