149327120 has 40 divisors (see below), whose sum is σ = 348024600. Its totient is φ = 59586560.

The previous prime is 149327107. The next prime is 149327147. The reversal of 149327120 is 21723941.

It can be written as a sum of positive squares in 4 ways, for example, as 1364224 + 147962896 = 1168^2 + 12164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34856 + ... + 38904.

It is an arithmetic number, because the mean of its divisors is an integer number (8700615).

Almost surely, 2^149327120 is an apocalyptic number.

149327120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149327120 is an abundant number, since it is smaller than the sum of its proper divisors (198697480).

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

149327120 is a wasteful number, since it uses less digits than its factorization.

149327120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 149327120 is about 12219.9476267290. The cubic root of 149327120 is about 530.5336028529.

The spelling of 149327120 in words is "one hundred forty-nine million, three hundred twenty-seven thousand, one hundred twenty".