142124146560 has 2048 divisors, whose sum is σ = 634521600000. Its totient is φ = 29634232320.

The previous prime is 142124146543. The next prime is 142124146597. The reversal of 142124146560 is 65641421241.

142124146560 is a `hidden beast` number, since 1 + 4 + 2 + 12 + 41 + 46 + 560 = 666.

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 255 ways as a sum of consecutive naturals, for example, 2408883811 + ... + 2408883869.

It is an arithmetic number, because the mean of its divisors is an integer number (309825000).

Almost surely, 2^142124146560 is an apocalyptic number.

142124146560 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 142124146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317260800000).

142124146560 is an abundant number, since it is smaller than the sum of its proper divisors (492397453440).

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

142124146560 is a wasteful number, since it uses less digits than its factorization.

142124146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 142124146560 in words is "one hundred forty-two billion, one hundred twenty-four million, one hundred forty-six thousand, five hundred sixty".