142102400 has 144 divisors (see below), whose sum is σ = 386902320. Its totient is φ = 51532800.

The previous prime is 142102379. The next prime is 142102403. The reversal of 142102400 is 4201241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142102403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 387017 + ... + 387383.

Almost surely, 2^142102400 is an apocalyptic number.

142102400 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 142102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193451160).

142102400 is an abundant number, since it is smaller than the sum of its proper divisors (244799920).

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

142102400 is a wasteful number, since it uses less digits than its factorization.

142102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 142102400 is about 11920.6711220468. The cubic root of 142102400 is about 521.8357209253.

Adding to 142102400 its reverse (4201241), we get a palindrome (146303641).

The spelling of 142102400 in words is "one hundred forty-two million, one hundred two thousand, four hundred".