142634083680 has 576 divisors, whose sum is σ = 550994996160. Its totient is φ = 34435399680.

The previous prime is 142634083673. The next prime is 142634083681. The reversal of 142634083680 is 86380436241.

142634083680 is a `hidden beast` number, since 1 + 4 + 2 + 634 + 0 + 8 + 3 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142634083681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184519774 + ... + 184520546.

It is an arithmetic number, because the mean of its divisors is an integer number (956588535).

Almost surely, 2^142634083680 is an apocalyptic number.

142634083680 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 142634083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275497498080).

142634083680 is an abundant number, since it is smaller than the sum of its proper divisors (408360912480).

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

142634083680 is a wasteful number, since it uses less digits than its factorization.

142634083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 142634083680 in words is "one hundred forty-two billion, six hundred thirty-four million, eighty-three thousand, six hundred eighty".