145838180799 has 24 divisors (see below), whose sum is σ = 215937109440. Its totient is φ = 94803010368.

The previous prime is 145838180753. The next prime is 145838180809. The reversal of 145838180799 is 997081838541.

145838180799 is a `hidden beast` number, since 1 + 458 + 38 + 1 + 80 + 79 + 9 = 666.

145838180799 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145838180799 - 2¹⁵ = 145838148031 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145838180399) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 527052 + ... + 754625.

It is an arithmetic number, because the mean of its divisors is an integer number (8997379560).

Almost surely, 2^145838180799 is an apocalyptic number.

145838180799 is a deficient number, since it is larger than the sum of its proper divisors (70098928641).

145838180799 is a wasteful number, since it uses less digits than its factorization.

145838180799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281999 (or 1281996 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 145838180799 in words is "one hundred forty-five billion, eight hundred thirty-eight million, one hundred eighty thousand, seven hundred ninety-nine".