172134057600 has 864 divisors, whose sum is σ = 668103628140. Its totient is φ = 42049536000.

The previous prime is 172134057593. The next prime is 172134057619. The reversal of 172134057600 is 6750431271.

It is a happy number.

172134057600 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 3 + 40 + 5 + 7 + 600 = 666.

172134057600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 134501161536 + 37632896064 = 366744^2 + 193992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1704297550 + ... + 1704297650.

Almost surely, 2^172134057600 is an apocalyptic number.

172134057600 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 172134057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334051814070).

172134057600 is an abundant number, since it is smaller than the sum of its proper divisors (495969570540).

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

172134057600 is a wasteful number, since it uses less digits than its factorization.

172134057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 172134057600 its reverse (6750431271), we get a palindrome (178884488871).

The spelling of 172134057600 in words is "one hundred seventy-two billion, one hundred thirty-four million, fifty-seven thousand, six hundred".