149824008 has 24 divisors (see below), whose sum is σ = 405773550. Its totient is φ = 49941312.

The previous prime is 149824007. The next prime is 149824013. The reversal of 149824008 is 800428941.

149824008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 144432324 + 5391684 = 12018^2 + 2322^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×149824008⁴ (a number of 34 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (149824007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1040373 + ... + 1040516.

Almost surely, 2^149824008 is an apocalyptic number.

149824008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

149824008 is an abundant number, since it is smaller than the sum of its proper divisors (255949542).

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

149824008 is a wasteful number, since it uses less digits than its factorization.

149824008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080901 (or 2080894 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 149824008 is about 12240.2617619069. The cubic root of 149824008 is about 531.1214039283.

The spelling of 149824008 in words is "one hundred forty-nine million, eight hundred twenty-four thousand, eight".