172139436076608 has 4032 divisors, whose sum is σ = 716964451467264. Its totient is φ = 39739714560000.

The previous prime is 172139436076547. The next prime is 172139436076627. The reversal of 172139436076608 is 806670634931271.

It is a happy number.

172139436076608 is a `hidden beast` number, since 1 + 7 + 2 + 13 + 9 + 4 + 3 + 6 + 0 + 7 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×172139436076608² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1139996265333 + ... + 1139996265483.

It is an arithmetic number, because the mean of its divisors is an integer number (177818564352).

Almost surely, 2^{172139436076608} is an apocalyptic number.

172139436076608 is a gapful number since it is divisible by the number (18) 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 172139436076608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358482225733632).

172139436076608 is an abundant number, since it is smaller than the sum of its proper divisors (544825015390656).

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

172139436076608 is a wasteful number, since it uses less digits than its factorization.

172139436076608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 172139436076608 in words is "one hundred seventy-two trillion, one hundred thirty-nine billion, four hundred thirty-six million, seventy-six thousand, six hundred eight".