149557968 has 240 divisors, whose sum is σ = 521573760. Its totient is φ = 40186368.

The previous prime is 149557939. The next prime is 149558011. The reversal of 149557968 is 869755941.

149557968 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 579 + 68 = 666.

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

Its product of digits (2721600) is a multiple of the sum of its prime divisors (168).

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 47 ways as a sum of consecutive naturals, for example, 1091596 + ... + 1091732.

It is an arithmetic number, because the mean of its divisors is an integer number (2173224).

Almost surely, 2^149557968 is an apocalyptic number.

149557968 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 149557968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260786880).

149557968 is an abundant number, since it is smaller than the sum of its proper divisors (372015792).

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

149557968 is a wasteful number, since it uses less digits than its factorization.

149557968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 168 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 149557968 is about 12229.3895186963. The cubic root of 149557968 is about 530.8068498565.

The spelling of 149557968 in words is "one hundred forty-nine million, five hundred fifty-seven thousand, nine hundred sixty-eight".