172134982656 has 704 divisors, whose sum is σ = 647955087360. Its totient is φ = 43913871360.

The previous prime is 172134982577. The next prime is 172134982697. The reversal of 172134982656 is 656289431271.

It is a happy number.

172134982656 is a `hidden beast` number, since 1 + 72 + 13 + 498 + 26 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 77993905 + ... + 77996111.

Almost surely, 2^172134982656 is an apocalyptic number.

172134982656 is a gapful number since it is divisible by the number (16) 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 172134982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323977543680).

172134982656 is an abundant number, since it is smaller than the sum of its proper divisors (475820104704).

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

172134982656 is a wasteful number, since it uses less digits than its factorization.

172134982656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2263 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 172134982656 in words is "one hundred seventy-two billion, one hundred thirty-four million, nine hundred eighty-two thousand, six hundred fifty-six".