142932142080 has 2304 divisors, whose sum is σ = 690633216000. Its totient is φ = 27327725568.

The previous prime is 142932142019. The next prime is 142932142109. The reversal of 142932142080 is 80241239241.

142932142080 is a `hidden beast` number, since 1 + 429 + 3 + 21 + 4 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6214440949 + ... + 6214440971.

It is an arithmetic number, because the mean of its divisors is an integer number (299754000).

Almost surely, 2^142932142080 is an apocalyptic number.

142932142080 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 142932142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345316608000).

142932142080 is an abundant number, since it is smaller than the sum of its proper divisors (547701073920).

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

142932142080 is a wasteful number, since it uses less digits than its factorization.

142932142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 142932142080 in words is "one hundred forty-two billion, nine hundred thirty-two million, one hundred forty-two thousand, eighty".