145200081600 has 1008 divisors, whose sum is σ = 631742232576. Its totient is φ = 32099328000.

The previous prime is 145200081577. The next prime is 145200081613. The reversal of 145200081600 is 6180002541.

145200081600 is a `hidden beast` number, since 1 + 4 + 52 + 0 + 0 + 0 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84368740 + ... + 84370460.

Almost surely, 2^145200081600 is an apocalyptic number.

145200081600 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 145200081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315871116288).

145200081600 is an abundant number, since it is smaller than the sum of its proper divisors (486542150976).

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

145200081600 is a wasteful number, since it uses less digits than its factorization.

145200081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 145200081600 in words is "one hundred forty-five billion, two hundred million, eighty-one thousand, six hundred".