146133152 has 96 divisors (see below), whose sum is σ = 327608064. Its totient is φ = 64120320.

The previous prime is 146133133. The next prime is 146133167. The reversal of 146133152 is 251331641.

It is a super-2 number, since 2×146133152² = 42709796226910208, which contains 22 as substring.

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2001788 + ... + 2001860.

It is an arithmetic number, because the mean of its divisors is an integer number (3412584).

Almost surely, 2^146133152 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 146133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163804032).

146133152 is an abundant number, since it is smaller than the sum of its proper divisors (181474912).

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

146133152 is an equidigital number, since it uses as much as digits as its factorization.

146133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 133 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 146133152 is about 12088.5545868809. The cubic root of 146133152 is about 526.7237695567.

Adding to 146133152 its reverse (251331641), we get a palindrome (397464793).

The spelling of 146133152 in words is "one hundred forty-six million, one hundred thirty-three thousand, one hundred fifty-two".