142502400 has 180 divisors, whose sum is σ = 510389022. Its totient is φ = 37969920.

The previous prime is 142502389. The next prime is 142502401. The reversal of 142502400 is 4205241.

142502400 is a `hidden beast` number, since 1 + 425 + 0 + 240 + 0 = 666.

142502400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 120824064 + 21678336 = 10992^2 + 4656^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (142502401) 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, 114582 + ... + 115818.

Almost surely, 2^142502400 is an apocalyptic number.

142502400 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 142502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255194511).

142502400 is an abundant number, since it is smaller than the sum of its proper divisors (367886622).

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

142502400 is a wasteful number, since it uses less digits than its factorization.

142502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 142502400 is about 11937.4369108281. The cubic root of 142502400 is about 522.3248957285.

Adding to 142502400 its reverse (4205241), we get a palindrome (146707641).

The spelling of 142502400 in words is "one hundred forty-two million, five hundred two thousand, four hundred".