146392272 has 100 divisors (see below), whose sum is σ = 456346660. Its totient is φ = 45038592.

The previous prime is 146392271. The next prime is 146392297. The reversal of 146392272 is 272293641.

146392272 is a `hidden beast` number, since 14 + 639 + 2 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78428736 + 67963536 = 8856^2 + 8244^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146392271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12504 + ... + 21192.

Almost surely, 2^146392272 is an apocalyptic number.

146392272 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 146392272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228173330).

146392272 is an abundant number, since it is smaller than the sum of its proper divisors (309954388).

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

146392272 is a wasteful number, since it uses less digits than its factorization.

146392272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8722 (or 8707 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 146392272 is about 12099.2674158397. The cubic root of 146392272 is about 527.0349106180.

The spelling of 146392272 in words is "one hundred forty-six million, three hundred ninety-two thousand, two hundred seventy-two".