142625305885200 has 1440 divisors, whose sum is σ = 509195070679680. Its totient is φ = 33982532812800.

The previous prime is 142625305885157. The next prime is 142625305885277. The reversal of 142625305885200 is 2588503526241.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 464577543447 + ... + 464577543753.

It is an arithmetic number, because the mean of its divisors is an integer number (353607687972).

Almost surely, 2^{142625305885200} is an apocalyptic number.

142625305885200 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 142625305885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254597535339840).

142625305885200 is an abundant number, since it is smaller than the sum of its proper divisors (366569764794480).

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

142625305885200 is a wasteful number, since it uses less digits than its factorization.

142625305885200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 142625305885200 in words is "one hundred forty-two trillion, six hundred twenty-five billion, three hundred five million, eight hundred eighty-five thousand, two hundred".