17138142000 has 1200 divisors, whose sum is σ = 76847367168. Its totient is φ = 3657830400.

The previous prime is 17138141989. The next prime is 17138142001. The reversal of 17138142000 is 24183171.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×17138142000² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (17138142001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 134945937 + ... + 134946063.

Almost surely, 2^17138142000 is an apocalyptic number.

17138142000 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 17138142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38423683584).

17138142000 is an abundant number, since it is smaller than the sum of its proper divisors (59709225168).

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

17138142000 is a wasteful number, since it uses less digits than its factorization.

17138142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 17138142000 in words is "seventeen billion, one hundred thirty-eight million, one hundred forty-two thousand".