142164800 has 42 divisors (see below), whose sum is σ = 349818198. Its totient is φ = 56865280.

The previous prime is 142164797. The next prime is 142164811. The reversal of 142164800 is 8461241.

It can be written as a sum of positive squares in 3 ways, for example, as 47997184 + 94167616 = 6928^2 + 9704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142164800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42827 + ... + 46026.

Almost surely, 2^142164800 is an apocalyptic number.

142164800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142164800 is an abundant number, since it is smaller than the sum of its proper divisors (207653398).

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

142164800 is an equidigital number, since it uses as much as digits as its factorization.

142164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88875 (or 88860 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 142164800 is about 11923.2881370870. The cubic root of 142164800 is about 521.9120925743.

The spelling of 142164800 in words is "one hundred forty-two million, one hundred sixty-four thousand, eight hundred".