142566245421600 has 1152 divisors, whose sum is σ = 623362994214912. Its totient is φ = 27332267212800.

The previous prime is 142566245421539. The next prime is 142566245421617. The reversal of 142566245421600 is 6124542665241.

It is a super-2 number, since 2×142566245421600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 142566245421600.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5446227712 + ... + 5446253888.

It is an arithmetic number, because the mean of its divisors is an integer number (541113710256).

Almost surely, 2^{142566245421600} is an apocalyptic number.

142566245421600 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 142566245421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311681497107456).

142566245421600 is an abundant number, since it is smaller than the sum of its proper divisors (480796748793312).

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

142566245421600 is a wasteful number, since it uses less digits than its factorization.

142566245421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28498 (or 28485 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 142566245421600 in words is "one hundred forty-two trillion, five hundred sixty-six billion, two hundred forty-five million, four hundred twenty-one thousand, six hundred".