149401872 has 60 divisors (see below), whose sum is σ = 419663244. Its totient is φ = 49616640.

The previous prime is 149401867. The next prime is 149401907. The reversal of 149401872 is 278104941.

It can be written as a sum of positive squares in 2 ways, for example, as 108493056 + 40908816 = 10416^2 + 6396^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40422 + ... + 43962.

Almost surely, 2^149401872 is an apocalyptic number.

149401872 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 149401872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209831622).

149401872 is an abundant number, since it is smaller than the sum of its proper divisors (270261372).

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

149401872 is a wasteful number, since it uses less digits than its factorization.

149401872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 149401872 is about 12223.0058496264. The cubic root of 149401872 is about 530.6221150896.

The spelling of 149401872 in words is "one hundred forty-nine million, four hundred one thousand, eight hundred seventy-two".