142701616512 has 1920 divisors, whose sum is σ = 595662439680. Its totient is φ = 33443020800.

The previous prime is 142701616483. The next prime is 142701616531. The reversal of 142701616512 is 215616107241.

142701616512 is a `hidden beast` number, since 1 + 4 + 27 + 0 + 1 + 616 + 5 + 12 = 666.

It is a super-2 number, since 2×142701616512² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3480527212 + ... + 3480527252.

It is an arithmetic number, because the mean of its divisors is an integer number (310240854).

Almost surely, 2^142701616512 is an apocalyptic number.

142701616512 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 142701616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297831219840).

142701616512 is an abundant number, since it is smaller than the sum of its proper divisors (452960823168).

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

142701616512 is a wasteful number, since it uses less digits than its factorization.

142701616512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 142701616512 in words is "one hundred forty-two billion, seven hundred one million, six hundred sixteen thousand, five hundred twelve".