142005606912 has 480 divisors, whose sum is σ = 459596417280. Its totient is φ = 41923215360.

The previous prime is 142005606893. The next prime is 142005606917. The reversal of 142005606912 is 219606500241.

142005606912 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 0 + 560 + 6 + 91 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (142005606917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175098987 + ... + 175099797.

It is an arithmetic number, because the mean of its divisors is an integer number (957492536).

Almost surely, 2^142005606912 is an apocalyptic number.

142005606912 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 142005606912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229798208640).

142005606912 is an abundant number, since it is smaller than the sum of its proper divisors (317590810368).

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

142005606912 is a wasteful number, since it uses less digits than its factorization.

142005606912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 142005606912 in words is "one hundred forty-two billion, five million, six hundred six thousand, nine hundred twelve".