142051945417920 has 336 divisors, whose sum is σ = 489825302174208. Its totient is φ = 37785517885440.

The previous prime is 142051945417897. The next prime is 142051945417933. The reversal of 142051945417920 is 29714549150241.

It is a happy number.

142051945417920 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 5 + 1 + 9 + 4 + 541 + 7 + 92 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11850494167 + ... + 11850506153.

It is an arithmetic number, because the mean of its divisors is an integer number (1457813399328).

Almost surely, 2^{142051945417920} is an apocalyptic number.

142051945417920 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 142051945417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244912651087104).

142051945417920 is an abundant number, since it is smaller than the sum of its proper divisors (347773356756288).

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

142051945417920 is a wasteful number, since it uses less digits than its factorization.

142051945417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21988 (or 21975 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 142051945417920 in words is "one hundred forty-two trillion, fifty-one billion, nine hundred forty-five million, four hundred seventeen thousand, nine hundred twenty".