149152824 has 96 divisors (see below), whose sum is σ = 414460800. Its totient is φ = 48444480.

The previous prime is 149152819. The next prime is 149152867. The reversal of 149152824 is 428251941.

149152824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×149152824³ (a number of 25 digits) contains 333 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 833167 + ... + 833345.

It is an arithmetic number, because the mean of its divisors is an integer number (4317300).

Almost surely, 2^149152824 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 149152824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207230400).

149152824 is an abundant number, since it is smaller than the sum of its proper divisors (265307976).

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

149152824 is a wasteful number, since it uses less digits than its factorization.

149152824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 149152824 is about 12212.8139263644. The cubic root of 149152824 is about 530.3271079099.

The spelling of 149152824 in words is "one hundred forty-nine million, one hundred fifty-two thousand, eight hundred twenty-four".