145306221033600 has 288 divisors, whose sum is σ = 565620978677040. Its totient is φ = 35225750476800.

The previous prime is 145306221033599. The next prime is 145306221033619. The reversal of 145306221033600 is 6330122603541.

145306221033600 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 0 + 6 + 2 + 2 + 10 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×145306221033600² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 229017514 + ... + 229651113.

Almost surely, 2^{145306221033600} is an apocalyptic number.

145306221033600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145306221033600 is an abundant number, since it is smaller than the sum of its proper divisors (420314757643440).

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

145306221033600 is a wasteful number, since it uses less digits than its factorization.

145306221033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458668668 (or 458668648 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 145306221033600 in words is "one hundred forty-five trillion, three hundred six billion, two hundred twenty-one million, thirty-three thousand, six hundred".