173793152 has 128 divisors (see below), whose sum is σ = 411264000. Its totient is φ = 72382464.

The previous prime is 173793121. The next prime is 173793157. The reversal of 173793152 is 251397371.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173793157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727049 + ... + 727287.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 2^173793152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

173793152 is an abundant number, since it is smaller than the sum of its proper divisors (237470848).

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

173793152 is a wasteful number, since it uses less digits than its factorization.

173793152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its digits is 39690, while the sum is 38.

The square root of 173793152 is about 13183.0630735046. The cubic root of 173793152 is about 558.0557062956.

The spelling of 173793152 in words is "one hundred seventy-three million, seven hundred ninety-three thousand, one hundred fifty-two".