149993568 has 72 divisors (see below), whose sum is σ = 441277200. Its totient is φ = 48271104.

The previous prime is 149993527. The next prime is 149993573. The reversal of 149993568 is 865399941.

149993568 is a `hidden beast` number, since 1 + 499 + 93 + 5 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 628 + ... + 17331.

It is an arithmetic number, because the mean of its divisors is an integer number (6128850).

Almost surely, 2^149993568 is an apocalyptic number.

149993568 is a gapful number since it is divisible by the number (18) 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 149993568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220638600).

149993568 is an abundant number, since it is smaller than the sum of its proper divisors (291283632).

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

149993568 is a wasteful number, since it uses less digits than its factorization.

149993568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18004 (or 17993 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 149993568 is about 12247.1861258005. The cubic root of 149993568 is about 531.3216900162.

The spelling of 149993568 in words is "one hundred forty-nine million, nine hundred ninety-three thousand, five hundred sixty-eight".