149226624 has 160 divisors (see below), whose sum is σ = 457271100. Its totient is φ = 48273408.

The previous prime is 149226619. The next prime is 149226631. The reversal of 149226624 is 426622941.

149226624 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 26 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148060224 + 1166400 = 12168^2 + 1080^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 383422 + ... + 383810.

Almost surely, 2^149226624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228635550).

149226624 is an abundant number, since it is smaller than the sum of its proper divisors (308044476).

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

149226624 is an equidigital number, since it uses as much as digits as its factorization.

149226624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 431 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 149226624 is about 12215.8349694157. The cubic root of 149226624 is about 530.4145611367.

The spelling of 149226624 in words is "one hundred forty-nine million, two hundred twenty-six thousand, six hundred twenty-four".