145235410023200 has 144 divisors (see below), whose sum is σ = 405211861905984. Its totient is φ = 49794374937600.

The previous prime is 145235410023181. The next prime is 145235410023239. The reversal of 145235410023200 is 2320014532541.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 800602907 + ... + 800784293.

It is an arithmetic number, because the mean of its divisors is an integer number (2813971263236).

Almost surely, 2^{145235410023200} is an apocalyptic number.

145235410023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145235410023200 is an abundant number, since it is smaller than the sum of its proper divisors (259976451882784).

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

145235410023200 is a wasteful number, since it uses less digits than its factorization.

145235410023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324395 (or 324382 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 145235410023200 its reverse (2320014532541), we get a palindrome (147555424555741).

The spelling of 145235410023200 in words is "one hundred forty-five trillion, two hundred thirty-five billion, four hundred ten million, twenty-three thousand, two hundred".