149504256 has 216 divisors, whose sum is σ = 499341024. Its totient is φ = 42516480.

The previous prime is 149504237. The next prime is 149504263. The reversal of 149504256 is 652405941.

149504256 is a `hidden beast` number, since 149 + 504 + 2 + 5 + 6 = 666.

149504256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×149504256² = 44703045124227072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 149504256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430675 + ... + 431021.

It is an arithmetic number, because the mean of its divisors is an integer number (2311764).

Almost surely, 2^149504256 is an apocalyptic number.

149504256 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 149504256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249670512).

149504256 is an abundant number, since it is smaller than the sum of its proper divisors (349836768).

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

149504256 is a wasteful number, since it uses less digits than its factorization.

149504256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 149504256 is about 12227.1933001814. The cubic root of 149504256 is about 530.7432978847.

It can be divided in two parts, 149 and 504256, that added together give a palindrome (504405).

The spelling of 149504256 in words is "one hundred forty-nine million, five hundred four thousand, two hundred fifty-six".