149289120 has 144 divisors (see below), whose sum is σ = 521512992. Its totient is φ = 38868480.

The previous prime is 149289109. The next prime is 149289221. The reversal of 149289120 is 21982941.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60715 + ... + 63125.

It is an arithmetic number, because the mean of its divisors is an integer number (3621618).

Almost surely, 2^149289120 is an apocalyptic number.

149289120 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 149289120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260756496).

149289120 is an abundant number, since it is smaller than the sum of its proper divisors (372223872).

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

149289120 is a wasteful number, since it uses less digits than its factorization.

149289120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 149289120 is about 12218.3926929854. The cubic root of 149289120 is about 530.4885965445.

The spelling of 149289120 in words is "one hundred forty-nine million, two hundred eighty-nine thousand, one hundred twenty".