146782272 has 224 divisors, whose sum is σ = 495222784. Its totient is φ = 37324800.

The previous prime is 146782247. The next prime is 146782309. The reversal of 146782272 is 272287641.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a self number, because there is not a number n which added to its sum of digits gives 146782272.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 541497 + ... + 541767.

It is an arithmetic number, because the mean of its divisors is an integer number (2210816).

Almost surely, 2^146782272 is an apocalyptic number.

146782272 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 146782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247611392).

146782272 is an abundant number, since it is smaller than the sum of its proper divisors (348440512).

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

146782272 is a wasteful number, since it uses less digits than its factorization.

146782272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 146782272 is about 12115.3733743538. The cubic root of 146782272 is about 527.5025158045.

The spelling of 146782272 in words is "one hundred forty-six million, seven hundred eighty-two thousand, two hundred seventy-two".