149668992 has 256 divisors, whose sum is σ = 501350400. Its totient is φ = 43545600.

The previous prime is 149668957. The next prime is 149668993. The reversal of 149668992 is 299866941.

149668992 is a `hidden beast` number, since 1 + 496 + 68 + 9 + 92 = 666.

149668992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (1679616) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (149668993) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1178433 + ... + 1178559.

It is an arithmetic number, because the mean of its divisors is an integer number (1958400).

Almost surely, 2^149668992 is an apocalyptic number.

149668992 is a gapful number since it is divisible by the number (12) 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 149668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250675200).

149668992 is an abundant number, since it is smaller than the sum of its proper divisors (351681408).

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

149668992 is a wasteful number, since it uses less digits than its factorization.

149668992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 149668992 is about 12233.9279056238. The cubic root of 149668992 is about 530.9381651000.

The spelling of 149668992 in words is "one hundred forty-nine million, six hundred sixty-eight thousand, nine hundred ninety-two".