142268400 has 150 divisors (see below), whose sum is σ = 510706152. Its totient is φ = 37929600.

The previous prime is 142268387. The next prime is 142268417. The reversal of 142268400 is 4862241.

It is a tau number, because it is divible by the number of its divisors (150).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30205 + ... + 34595.

Almost surely, 2^142268400 is an apocalyptic number.

142268400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255353076).

142268400 is an abundant number, since it is smaller than the sum of its proper divisors (368437752).

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

142268400 is a wasteful number, since it uses less digits than its factorization.

142268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4421 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 142268400 is about 11927.6317850611. The cubic root of 142268400 is about 522.0388397577.

The spelling of 142268400 in words is "one hundred forty-two million, two hundred sixty-eight thousand, four hundred".