149993856 has 320 divisors, whose sum is σ = 506515680. Its totient is φ = 43794432.

The previous prime is 149993849. The next prime is 149993891. The reversal of 149993856 is 658399941.

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

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 39 ways as a sum of consecutive naturals, for example, 4053870 + ... + 4053906.

Almost surely, 2^149993856 is an apocalyptic number.

149993856 is a gapful number since it is divisible by the number (16) 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 149993856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253257840).

149993856 is an abundant number, since it is smaller than the sum of its proper divisors (356521824).

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

149993856 is a wasteful number, since it uses less digits than its factorization.

149993856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

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

The square root of 149993856 is about 12247.1978835977. The cubic root of 149993856 is about 531.3220300764.

The spelling of 149993856 in words is "one hundred forty-nine million, nine hundred ninety-three thousand, eight hundred fifty-six".