172134400 has 117 divisors (see below), whose sum is σ = 437505883. Its totient is φ = 67174400.

The previous prime is 172134373. The next prime is 172134409. The reversal of 172134400 is 4431271.

The square root of 172134400 is 13120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 72454144 + 99680256 = 8512^2 + 9984^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172134409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4198380 + ... + 4198420.

Almost surely, 2^172134400 is an apocalyptic number.

172134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

172134400 is the 13120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172134400

172134400 is an abundant number, since it is smaller than the sum of its proper divisors (265371483).

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

172134400 is an frugal number, since it uses more digits than its factorization.

172134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The cubic root of 172134400 is about 556.2745913464.

Adding to 172134400 its reverse (4431271), we get a palindrome (176565671).

The spelling of 172134400 in words is "one hundred seventy-two million, one hundred thirty-four thousand, four hundred".