149053824 has 256 divisors, whose sum is σ = 484704000. Its totient is φ = 44900352.

The previous prime is 149053799. The next prime is 149053829. The reversal of 149053824 is 428350941.

149053824 is a `hidden beast` number, since 14 + 90 + 538 + 24 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149053829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2526307 + ... + 2526365.

It is an arithmetic number, because the mean of its divisors is an integer number (1893375).

Almost surely, 2^149053824 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 149053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242352000).

149053824 is an abundant number, since it is smaller than the sum of its proper divisors (335650176).

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

149053824 is a wasteful number, since it uses less digits than its factorization.

149053824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 149053824 is about 12208.7601336090. The cubic root of 149053824 is about 530.2097472890.

The spelling of 149053824 in words is "one hundred forty-nine million, fifty-three thousand, eight hundred twenty-four".