142813440 has 648 divisors, whose sum is σ = 654308928. Its totient is φ = 28385280.

The previous prime is 142813439. The next prime is 142813457. The reversal of 142813440 is 44318241.

142813440 is a `hidden beast` number, since 142 + 81 + 3 + 440 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6209269 + ... + 6209291.

It is an arithmetic number, because the mean of its divisors is an integer number (1009736).

Almost surely, 2^142813440 is an apocalyptic number.

142813440 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 142813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327154464).

142813440 is an abundant number, since it is smaller than the sum of its proper divisors (511495488).

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

142813440 is a wasteful number, since it uses less digits than its factorization.

142813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 142813440 is about 11950.4577318193. The cubic root of 142813440 is about 522.7046457663.

The spelling of 142813440 in words is "one hundred forty-two million, eight hundred thirteen thousand, four hundred forty".