34144143133100 has 1728 divisors, whose sum is σ = 108162547153920. Its totient is φ = 9132963840000.

The previous prime is 34144143133097. The next prime is 34144143133141. The reversal of 34144143133100 is 133134144143.

It is a super-2 number, since 2×34144143133100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 302160558644 + ... + 302160558756.

It is an arithmetic number, because the mean of its divisors is an integer number (62594066640).

Almost surely, 2^{34144143133100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34144143133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54081273576960).

34144143133100 is an abundant number, since it is smaller than the sum of its proper divisors (74018404020820).

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

34144143133100 is a wasteful number, since it uses less digits than its factorization.

34144143133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 34144143133100 its reverse (133134144143), we get a palindrome (34277277277243).

It can be divided in two parts, 34144143 and 133100, that added together give a palindrome (34277243).

The spelling of 34144143133100 in words is "thirty-four trillion, one hundred forty-four billion, one hundred forty-three million, one hundred thirty-three thousand, one hundred".