146372256 has 36 divisors (see below), whose sum is σ = 416246922. Its totient is φ = 48790656.

The previous prime is 146372201. The next prime is 146372263. The reversal of 146372256 is 652273641.

146372256 is a `hidden beast` number, since 14 + 637 + 2 + 2 + 5 + 6 = 666.

146372256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 93315600 + 53056656 = 9660^2 + 7284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 146372256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 253831 + ... + 254406.

Almost surely, 2^146372256 is an apocalyptic number.

146372256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146372256 is an abundant number, since it is smaller than the sum of its proper divisors (269874666).

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

146372256 is a wasteful number, since it uses less digits than its factorization.

146372256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508253 (or 508242 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 146372256 is about 12098.4402300462. The cubic root of 146372256 is about 527.0108892872.

The spelling of 146372256 in words is "one hundred forty-six million, three hundred seventy-two thousand, two hundred fifty-six".