145704312 has 128 divisors (see below), whose sum is σ = 458976000. Its totient is φ = 42456960.

The previous prime is 145704301. The next prime is 145704313. The reversal of 145704312 is 213407541.

145704312 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145704313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51987 + ... + 54717.

It is an arithmetic number, because the mean of its divisors is an integer number (3585750).

Almost surely, 2^145704312 is an apocalyptic number.

145704312 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 145704312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229488000).

145704312 is an abundant number, since it is smaller than the sum of its proper divisors (313271688).

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

145704312 is a wasteful number, since it uses less digits than its factorization.

145704312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 145704312 is about 12070.8041157166. The cubic root of 145704312 is about 526.2080263595.

The spelling of 145704312 in words is "one hundred forty-five million, seven hundred four thousand, three hundred twelve".