172138803200 has 936 divisors, whose sum is σ = 557610516000. Its totient is φ = 52600504320.

The previous prime is 172138803163. The next prime is 172138803211. The reversal of 172138803200 is 2308831271.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5935820786 + ... + 5935820814.

Almost surely, 2^172138803200 is an apocalyptic number.

172138803200 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 172138803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278805258000).

172138803200 is an abundant number, since it is smaller than the sum of its proper divisors (385471712800).

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

172138803200 is an equidigital number, since it uses as much as digits as its factorization.

172138803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 172138803200 in words is "one hundred seventy-two billion, one hundred thirty-eight million, eight hundred three thousand, two hundred".