173138472 has 288 divisors, whose sum is σ = 575527680. Its totient is φ = 48522240.

The previous prime is 173138467. The next prime is 173138473. The reversal of 173138472 is 274831371.

173138472 is a `hidden beast` number, since 173 + 13 + 8 + 472 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (173138473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5585097 + ... + 5585127.

It is an arithmetic number, because the mean of its divisors is an integer number (1998360).

Almost surely, 2^173138472 is an apocalyptic number.

173138472 is a gapful number since it is divisible by the number (12) 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 173138472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287763840).

173138472 is an abundant number, since it is smaller than the sum of its proper divisors (402389208).

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

173138472 is a wasteful number, since it uses less digits than its factorization.

173138472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 173138472 is about 13158.2093006609. The cubic root of 173138472 is about 557.3540913315.

The spelling of 173138472 in words is "one hundred seventy-three million, one hundred thirty-eight thousand, four hundred seventy-two".