142795902048000 has 2304 divisors, whose sum is σ = 550875772661760. Its totient is φ = 32551206912000.

The previous prime is 142795902047999. The next prime is 142795902048083. The reversal of 142795902048000 is 840209597241.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81458015124 + ... + 81458016876.

It is an arithmetic number, because the mean of its divisors is an integer number (239095387440).

Almost surely, 2^{142795902048000} is an apocalyptic number.

142795902048000 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 142795902048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275437886330880).

142795902048000 is an abundant number, since it is smaller than the sum of its proper divisors (408079870613760).

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

142795902048000 is a wasteful number, since it uses less digits than its factorization.

142795902048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 142795902048000 in words is "one hundred forty-two trillion, seven hundred ninety-five billion, nine hundred two million, forty-eight thousand".