149551920 has 360 divisors, whose sum is σ = 609742224. Its totient is φ = 33965568.

The previous prime is 149551903. The next prime is 149551921. The reversal of 149551920 is 29155941.

149551920 is a `hidden beast` number, since 14 + 9 + 551 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (149551921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 952482 + ... + 952638.

Almost surely, 2^149551920 is an apocalyptic number.

149551920 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 149551920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304871112).

149551920 is an abundant number, since it is smaller than the sum of its proper divisors (460190304).

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

149551920 is a wasteful number, since it uses less digits than its factorization.

149551920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 149551920 is about 12229.1422430193. The cubic root of 149551920 is about 530.7996946307.

The spelling of 149551920 in words is "one hundred forty-nine million, five hundred fifty-one thousand, nine hundred twenty".