66145356 has 96 divisors (see below), whose sum is σ = 178375680. Its totient is φ = 21183552.

The previous prime is 66145337. The next prime is 66145369. The reversal of 66145356 is 65354166.

66145356 is a `hidden beast` number, since 6 + 614 + 5 + 35 + 6 = 666.

66145356 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 (36).

Its product of digits (64800) is a multiple of the sum of its prime factors (300).

It is a self number, because there is not a number n which added to its sum of digits gives 66145356.

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 31 ways as a sum of consecutive naturals, for example, 421230 + ... + 421386.

It is an arithmetic number, because the mean of its divisors is an integer number (1858080).

Almost surely, 2^66145356 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 66145356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89187840).

66145356 is an abundant number, since it is smaller than the sum of its proper divisors (112230324).

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

66145356 is a wasteful number, since it uses less digits than its factorization.

66145356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 66145356 is about 8132.9795278237. The cubic root of 66145356 is about 404.4204605344.

The spelling of 66145356 in words is "sixty-six million, one hundred forty-five thousand, three hundred fifty-six".