172127190144 has 512 divisors, whose sum is σ = 603176232960. Its totient is φ = 42198958080.

The previous prime is 172127190119. The next prime is 172127190163. The reversal of 172127190144 is 441091721271.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 49304239 + ... + 49307729.

It is an arithmetic number, because the mean of its divisors is an integer number (1178078580).

Almost surely, 2^172127190144 is an apocalyptic number.

172127190144 is a gapful number since it is divisible by the number (14) 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 172127190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301588116480).

172127190144 is an abundant number, since it is smaller than the sum of its proper divisors (431049042816).

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

172127190144 is a wasteful number, since it uses less digits than its factorization.

172127190144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 172127190144 in words is "one hundred seventy-two billion, one hundred twenty-seven million, one hundred ninety thousand, one hundred forty-four".