17134157040 has 640 divisors, whose sum is σ = 72367368192. Its totient is φ = 3238133760.

The previous prime is 17134157021. The next prime is 17134157071. The reversal of 17134157040 is 4075143171.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 17134156992 and 17134157010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17537032 + ... + 17538008.

Almost surely, 2^17134157040 is an apocalyptic number.

17134157040 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 17134157040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36183684096).

17134157040 is an abundant number, since it is smaller than the sum of its proper divisors (55233211152).

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

17134157040 is a wasteful number, since it uses less digits than its factorization.

17134157040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 17134157040 in words is "seventeen billion, one hundred thirty-four million, one hundred fifty-seven thousand, forty".