145073622600 has 144 divisors (see below), whose sum is σ = 487549682100. Its totient is φ = 38658977280.

The previous prime is 145073622571. The next prime is 145073622613. The reversal of 145073622600 is 6226370541.

145073622600 is a `hidden beast` number, since 1 + 45 + 0 + 7 + 3 + 6 + 2 + 2 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 44334671364 + 100738951236 = 210558^2 + 317394^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2587666 + ... + 2643134.

Almost surely, 2^145073622600 is an apocalyptic number.

145073622600 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 145073622600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243774841050).

145073622600 is an abundant number, since it is smaller than the sum of its proper divisors (342476059500).

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

145073622600 is a wasteful number, since it uses less digits than its factorization.

145073622600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56944 (or 56932 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 145073622600 in words is "one hundred forty-five billion, seventy-three million, six hundred twenty-two thousand, six hundred".