17200145340 has 768 divisors, whose sum is σ = 67060224000. Its totient is φ = 3576545280.

The previous prime is 17200145323. The next prime is 17200145353. The reversal of 17200145340 is 4354100271.

17200145340 is a `hidden beast` number, since 1 + 7 + 200 + 1 + 453 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 193260016 + ... + 193260104.

It is an arithmetic number, because the mean of its divisors is an integer number (87318000).

Almost surely, 2^17200145340 is an apocalyptic number.

17200145340 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 17200145340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33530112000).

17200145340 is an abundant number, since it is smaller than the sum of its proper divisors (49860078660).

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

17200145340 is a wasteful number, since it uses less digits than its factorization.

17200145340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 17200145340 in words is "seventeen billion, two hundred million, one hundred forty-five thousand, three hundred forty".