145944576 has 156 divisors (see below), whose sum is σ = 437006232. Its totient is φ = 46891008.

The previous prime is 145944571. The next prime is 145944577. The reversal of 145944576 is 675449541.

145944576 is a `hidden beast` number, since 1 + 4 + 594 + 4 + 57 + 6 = 666.

145944576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145944571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1363915 + ... + 1364021.

It is an arithmetic number, because the mean of its divisors is an integer number (2801322).

Almost surely, 2^145944576 is an apocalyptic number.

145944576 is a gapful number since it is divisible by the number (16) 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 145944576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218503116).

145944576 is an abundant number, since it is smaller than the sum of its proper divisors (291061656).

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

145944576 is a wasteful number, since it uses less digits than its factorization.

145944576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 145944576 is about 12080.7522944558. The cubic root of 145944576 is about 526.4971036331.

The spelling of 145944576 in words is "one hundred forty-five million, nine hundred forty-four thousand, five hundred seventy-six".