142920290304 has 351 divisors, whose sum is σ = 456321502819. Its totient is φ = 43067228160.

The previous prime is 142920290273. The next prime is 142920290363. The reversal of 142920290304 is 403092029241.

The square root of 142920290304 is 378048.

It is a perfect power (a square), and thus also a powerful number.

142920290304 is a `hidden beast` number, since 1 + 42 + 9 + 20 + 290 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 798437287 + ... + 798437465.

Almost surely, 2^142920290304 is an apocalyptic number.

142920290304 is the 378048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142920290304

142920290304 is an abundant number, since it is smaller than the sum of its proper divisors (313401212515).

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

142920290304 is an equidigital number, since it uses as much as digits as its factorization.

142920290304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 142920290304 by its sum of digits (36), we get a square (5145130450944 = 2268288²).

142920290304 divided by its sum of digits (36) gives a square (3970008064 = 63008²).

The spelling of 142920290304 in words is "one hundred forty-two billion, nine hundred twenty million, two hundred ninety thousand, three hundred four".