146318172 has 144 divisors (see below), whose sum is σ = 461405952. Its totient is φ = 35043840.

The previous prime is 146318153. The next prime is 146318189. The reversal of 146318172 is 271813641.

146318172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155688 + ... + 156624.

It is an arithmetic number, because the mean of its divisors is an integer number (3204208).

Almost surely, 2^146318172 is an apocalyptic number.

146318172 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 146318172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230702976).

146318172 is an abundant number, since it is smaller than the sum of its proper divisors (315087780).

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

146318172 is a wasteful number, since it uses less digits than its factorization.

146318172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 973 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 146318172 is about 12096.2048593763. The cubic root of 146318172 is about 526.9459717748.

The spelling of 146318172 in words is "one hundred forty-six million, three hundred eighteen thousand, one hundred seventy-two".