149301824 has 42 divisors (see below), whose sum is σ = 344648790. Its totient is φ = 63985152.

The previous prime is 149301821. The next prime is 149301827. The reversal of 149301824 is 428103941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149301821) and next prime (149301827).

It can be written as a sum of positive squares in only one way, i.e., 129231424 + 20070400 = 11368^2 + 4480^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (149301821) 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, 20669 + ... + 26940.

Almost surely, 2^149301824 is an apocalyptic number.

149301824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

149301824 is an abundant number, since it is smaller than the sum of its proper divisors (195346966).

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

149301824 is an equidigital number, since it uses as much as digits as its factorization.

149301824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47635 (or 47618 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 149301824 is about 12218.9125539059. The cubic root of 149301824 is about 530.5036437138.

The spelling of 149301824 in words is "one hundred forty-nine million, three hundred one thousand, eight hundred twenty-four".