142242400 has 72 divisors (see below), whose sum is σ = 367710840. Its totient is φ = 53544960.

The previous prime is 142242377. The next prime is 142242433. The reversal of 142242400 is 4242241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8371 + ... + 18829.

It is an arithmetic number, because the mean of its divisors is an integer number (5107095).

Almost surely, 2^142242400 is an apocalyptic number.

142242400 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 142242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183855420).

142242400 is an abundant number, since it is smaller than the sum of its proper divisors (225468440).

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

142242400 is a wasteful number, since it uses less digits than its factorization.

142242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10496 (or 10483 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 142242400 is about 11926.5418290467. The cubic root of 142242400 is about 522.0070364039.

Adding to 142242400 its reverse (4242241), we get a palindrome (146484641).

The spelling of 142242400 in words is "one hundred forty-two million, two hundred forty-two thousand, four hundred".