145913302800 has 600 divisors, whose sum is σ = 548548640640. Its totient is φ = 37096012800.

The previous prime is 145913302781. The next prime is 145913302813. The reversal of 145913302800 is 8203319541.

145913302800 is a `hidden beast` number, since 1 + 45 + 9 + 1 + 330 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 77985865 + ... + 77987735.

Almost surely, 2^145913302800 is an apocalyptic number.

145913302800 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 145913302800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274274320320).

145913302800 is an abundant number, since it is smaller than the sum of its proper divisors (402635337840).

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

145913302800 is a wasteful number, since it uses less digits than its factorization.

145913302800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 145913302800 in words is "one hundred forty-five billion, nine hundred thirteen million, three hundred two thousand, eight hundred".