142344400 has 180 divisors, whose sum is σ = 400310316. Its totient is φ = 48435200.

The previous prime is 142344361. The next prime is 142344413. The reversal of 142344400 is 4443241.

It can be written as a sum of positive squares in 6 ways, for example, as 8433216 + 133911184 = 2904^2 + 11572^2 .

It is a super-2 number, since 2×142344400² = 40523856422720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 822714 + ... + 822886.

Almost surely, 2^142344400 is an apocalyptic number.

142344400 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 142344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200155158).

142344400 is an abundant number, since it is smaller than the sum of its proper divisors (257965916).

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

142344400 is a wasteful number, since it uses less digits than its factorization.

142344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 142344400 is about 11930.8172394015. The cubic root of 142344400 is about 522.1317811959.

Adding to 142344400 its reverse (4443241), we get a palindrome (146787641).

The spelling of 142344400 in words is "one hundred forty-two million, three hundred forty-four thousand, four hundred".