142293060000 has 2160 divisors, whose sum is σ = 679895320104. Its totient is φ = 27869184000.

The previous prime is 142293059977. The next prime is 142293060031. The reversal of 142293060000 is 60392241.

142293060000 is a `hidden beast` number, since 1 + 4 + 2 + 29 + 30 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 57674904336 + 84618155664 = 240156^2 + 290892^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1949219964 + ... + 1949220036.

Almost surely, 2^142293060000 is an apocalyptic number.

142293060000 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 142293060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339947660052).

142293060000 is an abundant number, since it is smaller than the sum of its proper divisors (537602260104).

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

142293060000 is a wasteful number, since it uses less digits than its factorization.

142293060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 142293060000 in words is "one hundred forty-two billion, two hundred ninety-three million, sixty thousand".