149871312 has 120 divisors (see below), whose sum is σ = 449864064. Its totient is φ = 46455552.

The previous prime is 149871233. The next prime is 149871313. The reversal of 149871312 is 213178941.

It is a happy number.

It is a super-2 number, since 2×149871312² = 44922820321202688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149871313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121933 + ... + 123155.

Almost surely, 2^149871312 is an apocalyptic number.

149871312 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 149871312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224932032).

149871312 is an abundant number, since it is smaller than the sum of its proper divisors (299992752).

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

149871312 is a wasteful number, since it uses less digits than its factorization.

149871312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1288 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 149871312 is about 12242.1939210258. The cubic root of 149871312 is about 531.1772951115.

The spelling of 149871312 in words is "one hundred forty-nine million, eight hundred seventy-one thousand, three hundred twelve".