142760270016 has 448 divisors, whose sum is σ = 518741314560. Its totient is φ = 37490688000.

The previous prime is 142760269889. The next prime is 142760270021. The reversal of 142760270016 is 610072067241.

142760270016 is a `hidden beast` number, since 1 + 42 + 7 + 602 + 7 + 0 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39467440 + ... + 39471056.

It is an arithmetic number, because the mean of its divisors is an integer number (1157904720).

Almost surely, 2^142760270016 is an apocalyptic number.

142760270016 is a gapful number since it is divisible by the number (16) 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 142760270016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259370657280).

142760270016 is an abundant number, since it is smaller than the sum of its proper divisors (375981044544).

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

142760270016 is a wasteful number, since it uses less digits than its factorization.

142760270016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 142760270016 in words is "one hundred forty-two billion, seven hundred sixty million, two hundred seventy thousand, sixteen".