142071920208 has 120 divisors (see below), whose sum is σ = 414196823040. Its totient is φ = 45409040640.

The previous prime is 142071920189. The next prime is 142071920261. The reversal of 142071920208 is 802029170241.

142071920208 is a `hidden beast` number, since 1 + 420 + 7 + 1 + 9 + 20 + 208 = 666.

142071920208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340585 + ... + 632567.

It is an arithmetic number, because the mean of its divisors is an integer number (3451640192).

Almost surely, 2^142071920208 is an apocalyptic number.

142071920208 is a gapful number since it is divisible by the number (18) 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 142071920208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207098411520).

142071920208 is an abundant number, since it is smaller than the sum of its proper divisors (272124902832).

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

142071920208 is a wasteful number, since it uses less digits than its factorization.

142071920208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292137 (or 292128 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 142071920208 in words is "one hundred forty-two billion, seventy-one million, nine hundred twenty thousand, two hundred eight".