142256794680 has 1536 divisors, whose sum is σ = 664215552000. Its totient is φ = 25425653760.

The previous prime is 142256794651. The next prime is 142256794681. The reversal of 142256794680 is 86497652241.

142256794680 is a `hidden beast` number, since 1 + 422 + 56 + 7 + 94 + 6 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142256794681) 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 383 ways as a sum of consecutive naturals, for example, 540900229 + ... + 540900491.

It is an arithmetic number, because the mean of its divisors is an integer number (432432000).

Almost surely, 2^142256794680 is an apocalyptic number.

142256794680 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 142256794680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332107776000).

142256794680 is an abundant number, since it is smaller than the sum of its proper divisors (521958757320).

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

142256794680 is a wasteful number, since it uses less digits than its factorization.

142256794680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 142256794680 in words is "one hundred forty-two billion, two hundred fifty-six million, seven hundred ninety-four thousand, six hundred eighty".