149979312 has 240 divisors, whose sum is σ = 519966720. Its totient is φ = 39398400.

The previous prime is 149979301. The next prime is 149979337. The reversal of 149979312 is 213979941.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785137 + ... + 785327.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^149979312 is an apocalyptic number.

149979312 is a gapful number since it is divisible by the number (12) 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 149979312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

149979312 is an abundant number, since it is smaller than the sum of its proper divisors (369987408).

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

149979312 is a wasteful number, since it uses less digits than its factorization.

149979312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 149979312 is about 12246.6041007293. The cubic root of 149979312 is about 531.3048564899.

The spelling of 149979312 in words is "one hundred forty-nine million, nine hundred seventy-nine thousand, three hundred twelve".