142122400 has 144 divisors (see below), whose sum is σ = 406848960. Its totient is φ = 47462400.

The previous prime is 142122391. The next prime is 142122403. The reversal of 142122400 is 4221241.

142122400 is digitally balanced in base 3, 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 (16).

It is not an unprimeable number, because it can be changed into a prime (142122403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229291 + ... + 229909.

It is an arithmetic number, because the mean of its divisors is an integer number (2825340).

Almost surely, 2^142122400 is an apocalyptic number.

142122400 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 142122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203424480).

142122400 is an abundant number, since it is smaller than the sum of its proper divisors (264726560).

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

142122400 is a wasteful number, since it uses less digits than its factorization.

142122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 142122400 is about 11921.5099714759. The cubic root of 142122400 is about 521.8602014521.

Adding to 142122400 its reverse (4221241), we get a palindrome (146343641).

The spelling of 142122400 in words is "one hundred forty-two million, one hundred twenty-two thousand, four hundred".