142604146400 has 72 divisors (see below), whose sum is σ = 368610782400. Its totient is φ = 53686261760.

The previous prime is 142604146397. The next prime is 142604146409. The reversal of 142604146400 is 4641406241.

142604146400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142604146409) 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 11 ways as a sum of consecutive naturals, for example, 5229200 + ... + 5256399.

It is an arithmetic number, because the mean of its divisors is an integer number (5119594200).

Almost surely, 2^142604146400 is an apocalyptic number.

142604146400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142604146400 is an abundant number, since it is smaller than the sum of its proper divisors (226006636000).

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

142604146400 is a wasteful number, since it uses less digits than its factorization.

142604146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10485636 (or 10485623 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 142604146400 in words is "one hundred forty-two billion, six hundred four million, one hundred forty-six thousand, four hundred".