142147241113600 has 288 divisors, whose sum is σ = 355134913660800. Its totient is φ = 56424355430400.

The previous prime is 142147241113597. The next prime is 142147241113613. The reversal of 142147241113600 is 6311142741241.

It is a self number, because there is not a number n which added to its sum of digits gives 142147241113600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27833802247 + ... + 27833807353.

It is an arithmetic number, because the mean of its divisors is an integer number (1233107339100).

Almost surely, 2^{142147241113600} is an apocalyptic number.

142147241113600 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 142147241113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177567456830400).

142147241113600 is an abundant number, since it is smaller than the sum of its proper divisors (212987672547200).

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

142147241113600 is a wasteful number, since it uses less digits than its factorization.

142147241113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

Adding to 142147241113600 its reverse (6311142741241), we get a palindrome (148458383854841).

The spelling of 142147241113600 in words is "one hundred forty-two trillion, one hundred forty-seven billion, two hundred forty-one million, one hundred thirteen thousand, six hundred".