142892949113772 has 384 divisors, whose sum is σ = 406399588761600. Its totient is φ = 38484101376000.

The previous prime is 142892949113699. The next prime is 142892949113791. The reversal of 142892949113772 is 277311949298241.

It is a junction number, because it is equal to n+sod(n) for n = 142892949113697 and 142892949113706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30736274104 + ... + 30736278752.

It is an arithmetic number, because the mean of its divisors is an integer number (1058332262400).

Almost surely, 2^{142892949113772} is an apocalyptic number.

142892949113772 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 142892949113772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203199794380800).

142892949113772 is an abundant number, since it is smaller than the sum of its proper divisors (263506639647828).

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

142892949113772 is a wasteful number, since it uses less digits than its factorization.

142892949113772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7525 (or 7523 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 69.

The spelling of 142892949113772 in words is "one hundred forty-two trillion, eight hundred ninety-two billion, nine hundred forty-nine million, one hundred thirteen thousand, seven hundred seventy-two".