142542876672 has 624 divisors, whose sum is σ = 493290590208. Its totient is φ = 38804520960.

The previous prime is 142542876647. The next prime is 142542876677. The reversal of 142542876672 is 276678245241.

142542876672 is a `hidden beast` number, since 14 + 2 + 542 + 87 + 6 + 6 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (142542876677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823947178 + ... + 823947350.

It is an arithmetic number, because the mean of its divisors is an integer number (790529792).

Almost surely, 2^142542876672 is an apocalyptic number.

142542876672 is a gapful number since it is divisible by the number (12) 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 142542876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246645295104).

142542876672 is an abundant number, since it is smaller than the sum of its proper divisors (350747713536).

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

142542876672 is a wasteful number, since it uses less digits than its factorization.

142542876672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 319 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 142542876672 in words is "one hundred forty-two billion, five hundred forty-two million, eight hundred seventy-six thousand, six hundred seventy-two".