145632000 has 288 divisors, whose sum is σ = 508906944. Its totient is φ = 36864000.

The previous prime is 145631999. The next prime is 145632031. The reversal of 145632000 is 236541.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3551980 + ... + 3552020.

It is an arithmetic number, because the mean of its divisors is an integer number (1767038).

Almost surely, 2^145632000 is an apocalyptic number.

145632000 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 145632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254453472).

145632000 is an abundant number, since it is smaller than the sum of its proper divisors (363274944).

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

145632000 is an equidigital number, since it uses as much as digits as its factorization.

145632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 145632000 is about 12067.8084174385. The cubic root of 145632000 is about 526.1209608708.

Adding to 145632000 its reverse (236541), we get a palindrome (145868541).

The spelling of 145632000 in words is "one hundred forty-five million, six hundred thirty-two thousand".