146814272 has 56 divisors (see below), whose sum is σ = 320954400. Its totient is φ = 66076160.

The previous prime is 146814271. The next prime is 146814287. The reversal of 146814272 is 272418641.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146814271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74354 + ... + 76302.

Almost surely, 2^146814272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146814272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160477200).

146814272 is an abundant number, since it is smaller than the sum of its proper divisors (174140128).

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

146814272 is a wasteful number, since it uses less digits than its factorization.

146814272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2069 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 146814272 is about 12116.6939385296. The cubic root of 146814272 is about 527.5408466232.

It can be divided in two parts, 146 and 814272, that added together give a palindrome (814418).

The spelling of 146814272 in words is "one hundred forty-six million, eight hundred fourteen thousand, two hundred seventy-two".