142253280000 has 1440 divisors, whose sum is σ = 603425592000. Its totient is φ = 32735232000.

The previous prime is 142253279999. The next prime is 142253280023. The reversal of 142253280000 is 82352241.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 954719926 + ... + 954720074.

It is an arithmetic number, because the mean of its divisors is an integer number (419045550).

Almost surely, 2^142253280000 is an apocalyptic number.

142253280000 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 142253280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301712796000).

142253280000 is an abundant number, since it is smaller than the sum of its proper divisors (461172312000).

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

142253280000 is a wasteful number, since it uses less digits than its factorization.

142253280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

It can be divided in two parts, 14225 and 3280000, that added together give a square (3294225 = 1815²).

The spelling of 142253280000 in words is "one hundred forty-two billion, two hundred fifty-three million, two hundred eighty thousand".