142829205120 has 1280 divisors, whose sum is σ = 617771404800. Its totient is φ = 30743691264.

The previous prime is 142829205089. The next prime is 142829205131. The reversal of 142829205120 is 21502928241.

142829205120 is a `hidden beast` number, since 1 + 42 + 82 + 9 + 20 + 512 + 0 = 666.

It is a super-2 number, since 2×142829205120² (a number of 23 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 909740082 + ... + 909740238.

It is an arithmetic number, because the mean of its divisors is an integer number (482633910).

Almost surely, 2^142829205120 is an apocalyptic number.

142829205120 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 142829205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308885702400).

142829205120 is an abundant number, since it is smaller than the sum of its proper divisors (474942199680).

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

142829205120 is a wasteful number, since it uses less digits than its factorization.

142829205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 142829205120 in words is "one hundred forty-two billion, eight hundred twenty-nine million, two hundred five thousand, one hundred twenty".