142912000 has 320 divisors, whose sum is σ = 459613440. Its totient is φ = 43008000.

The previous prime is 142911997. The next prime is 142912001. The reversal of 142912000 is 219241.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142912001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4927986 + ... + 4928014.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2^142912000 is an apocalyptic number.

142912000 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 142912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229806720).

142912000 is an abundant number, since it is smaller than the sum of its proper divisors (316701440).

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

142912000 is an equidigital number, since it uses as much as digits as its factorization.

142912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 142912000 is about 11954.5807120116. The cubic root of 142912000 is about 522.8248630304.

The spelling of 142912000 in words is "one hundred forty-two million, nine hundred twelve thousand".