145533600 has 432 divisors, whose sum is σ = 575822520. Its totient is φ = 34406400.

The previous prime is 145533587. The next prime is 145533607. The reversal of 145533600 is 6335541.

145533600 is a `hidden beast` number, since 1 + 4 + 5 + 53 + 3 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2396304 + 143137296 = 1548^2 + 11964^2 .

It is not an unprimeable number, because it can be changed into a prime (145533607) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3549580 + ... + 3549620.

Almost surely, 2^145533600 is an apocalyptic number.

145533600 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 145533600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287911260).

145533600 is an abundant number, since it is smaller than the sum of its proper divisors (430288920).

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

145533600 is a wasteful number, since it uses less digits than its factorization.

145533600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 145533600 is about 12063.7307662265. The cubic root of 145533600 is about 526.0024384607.

The spelling of 145533600 in words is "one hundred forty-five million, five hundred thirty-three thousand, six hundred".