171177157340 has 192 divisors, whose sum is σ = 422384578560. Its totient is φ = 57067545600.

The previous prime is 171177157321. The next prime is 171177157381. The reversal of 171177157340 is 43751771171.

171177157340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 171177157291 and 171177157300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327298319 + ... + 327298841.

It is an arithmetic number, because the mean of its divisors is an integer number (2199919680).

Almost surely, 2^171177157340 is an apocalyptic number.

171177157340 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 171177157340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211192289280).

171177157340 is an abundant number, since it is smaller than the sum of its proper divisors (251207421220).

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

171177157340 is a wasteful number, since it uses less digits than its factorization.

171177157340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 144060, while the sum is 44.

The spelling of 171177157340 in words is "one hundred seventy-one billion, one hundred seventy-seven million, one hundred fifty-seven thousand, three hundred forty".