142564400 has 60 divisors (see below), whose sum is σ = 373659864. Its totient is φ = 51840000.

The previous prime is 142564343. The next prime is 142564403. The reversal of 142564400 is 4465241.

142564400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 142564400.

It is not an unprimeable number, because it can be changed into a prime (142564403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11801 + ... + 20600.

Almost surely, 2^142564400 is an apocalyptic number.

142564400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142564400 is an abundant number, since it is smaller than the sum of its proper divisors (231095464).

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

142564400 is a wasteful number, since it uses less digits than its factorization.

142564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32430 (or 32419 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 142564400 is about 11940.0335007905. The cubic root of 142564400 is about 522.4006358520.

It can be divided in two parts, 14256 and 4400, that multiplied together give a square (62726400 = 7920²).

The spelling of 142564400 in words is "one hundred forty-two million, five hundred sixty-four thousand, four hundred".