142652400 has 240 divisors, whose sum is σ = 508146048. Its totient is φ = 33920000.

The previous prime is 142652381. The next prime is 142652413. The reversal of 142652400 is 4256241.

142652400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1333147 + ... + 1333253.

Almost surely, 2^142652400 is an apocalyptic number.

142652400 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 142652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254073024).

142652400 is an abundant number, since it is smaller than the sum of its proper divisors (365493648).

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

142652400 is a wasteful number, since it uses less digits than its factorization.

142652400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 142652400 is about 11943.7180140859. The cubic root of 142652400 is about 522.5081002689.

The spelling of 142652400 in words is "one hundred forty-two million, six hundred fifty-two thousand, four hundred".