146132800 has 252 divisors, whose sum is σ = 431999136. Its totient is φ = 48153600.

The previous prime is 146132797. The next prime is 146132801. The reversal of 146132800 is 8231641.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146132801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 6353589 + ... + 6353611.

Almost surely, 2^146132800 is an apocalyptic number.

146132800 is a gapful number since it is divisible by the number (10) 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 146132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215999568).

146132800 is an abundant number, since it is smaller than the sum of its proper divisors (285866336).

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

146132800 is a wasteful number, since it uses less digits than its factorization.

146132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 146132800 is about 12088.5400276460. The cubic root of 146132800 is about 526.7233466389.

The spelling of 146132800 in words is "one hundred forty-six million, one hundred thirty-two thousand, eight hundred".