142711790760 has 768 divisors, whose sum is σ = 612587888640. Its totient is φ = 29016299520.

The previous prime is 142711790759. The next prime is 142711790779. The reversal of 142711790760 is 67097117241.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35174652 + ... + 35178708.

It is an arithmetic number, because the mean of its divisors is an integer number (797640480).

Almost surely, 2^142711790760 is an apocalyptic number.

142711790760 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 142711790760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306293944320).

142711790760 is an abundant number, since it is smaller than the sum of its proper divisors (469876097880).

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

142711790760 is a wasteful number, since it uses less digits than its factorization.

142711790760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 142711790760 in words is "one hundred forty-two billion, seven hundred eleven million, seven hundred ninety thousand, seven hundred sixty".