145785481617600 has 504 divisors, whose sum is σ = 574841849999040. Its totient is φ = 34742916864000.

The previous prime is 145785481617569. The next prime is 145785481617653. The reversal of 145785481617600 is 6716184587541.

It is a happy number.

145785481617600 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 8 + 5 + 4 + 8 + 1 + 6 + 17 + 600 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1545915 + ... + 17145285.

Almost surely, 2^{145785481617600} is an apocalyptic number.

145785481617600 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 145785481617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287420924999520).

145785481617600 is an abundant number, since it is smaller than the sum of its proper divisors (429056368381440).

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

145785481617600 is a wasteful number, since it uses less digits than its factorization.

145785481617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15599469 (or 15599451 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 145785481617600 in words is "one hundred forty-five trillion, seven hundred eighty-five billion, four hundred eighty-one million, six hundred seventeen thousand, six hundred".