142802652960 has 576 divisors, whose sum is σ = 542769776640. Its totient is φ = 33899120640.

The previous prime is 142802652877. The next prime is 142802652961. The reversal of 142802652960 is 69256208241.

142802652960 is a `hidden beast` number, since 1 + 42 + 8 + 0 + 26 + 529 + 60 = 666.

142802652960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (142802652961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253645639 + ... + 253646201.

It is an arithmetic number, because the mean of its divisors is an integer number (942308640).

Almost surely, 2^142802652960 is an apocalyptic number.

142802652960 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 142802652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271384888320).

142802652960 is an abundant number, since it is smaller than the sum of its proper divisors (399967123680).

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

142802652960 is a wasteful number, since it uses less digits than its factorization.

142802652960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 142802652960 in words is "one hundred forty-two billion, eight hundred two million, six hundred fifty-two thousand, nine hundred sixty".