171142400 has 324 divisors, whose sum is σ = 530926956. Its totient is φ = 54067200.

The previous prime is 171142399. The next prime is 171142423. The reversal of 171142400 is 4241171.

It can be written as a sum of positive squares in 6 ways, for example, as 6071296 + 165071104 = 2464^2 + 12848^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10067192 + ... + 10067208.

Almost surely, 2^171142400 is an apocalyptic number.

171142400 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 171142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265463478).

171142400 is an abundant number, since it is smaller than the sum of its proper divisors (359784556).

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

171142400 is a wasteful number, since it uses less digits than its factorization.

171142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 171142400 is about 13082.1404976403. The cubic root of 171142400 is about 555.2039398769.

Adding to 171142400 its reverse (4241171), we get a palindrome (175383571).

The spelling of 171142400 in words is "one hundred seventy-one million, one hundred forty-two thousand, four hundred".