149683744224 has 144 divisors (see below), whose sum is σ = 486650166912. Its totient is φ = 42751137024.

The previous prime is 149683744213. The next prime is 149683744229. The reversal of 149683744224 is 422447386941.

149683744224 is a `hidden beast` number, since 1 + 49 + 6 + 8 + 374 + 4 + 224 = 666.

149683744224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149683744229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6203287 + ... + 6227369.

It is an arithmetic number, because the mean of its divisors is an integer number (3379515048).

Almost surely, 2^149683744224 is an apocalyptic number.

149683744224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149683744224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243325083456).

149683744224 is an abundant number, since it is smaller than the sum of its proper divisors (336966422688).

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

149683744224 is a wasteful number, since it uses less digits than its factorization.

149683744224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27189 (or 27178 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 149683744224 in words is "one hundred forty-nine billion, six hundred eighty-three million, seven hundred forty-four thousand, two hundred twenty-four".