145713443521800 has 192 divisors, whose sum is σ = 563172997478400. Its totient is φ = 30278118124800.

The previous prime is 145713443521777. The next prime is 145713443521819. The reversal of 145713443521800 is 8125344317541.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 145713443521800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1576939120 + ... + 1577031519.

It is an arithmetic number, because the mean of its divisors is an integer number (2933192695200).

Almost surely, 2^{145713443521800} is an apocalyptic number.

145713443521800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145713443521800 is an abundant number, since it is smaller than the sum of its proper divisors (417459553956600).

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

145713443521800 is a wasteful number, since it uses less digits than its factorization.

145713443521800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153970676 (or 3153970667 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 145713443521800 in words is "one hundred forty-five trillion, seven hundred thirteen billion, four hundred forty-three million, five hundred twenty-one thousand, eight hundred".