45145776 has 80 divisors (see below), whose sum is σ = 127491840. Its totient is φ = 13681920.

The previous prime is 45145753. The next prime is 45145777. The reversal of 45145776 is 67754154.

45145776 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 (39).

It is not an unprimeable number, because it can be changed into a prime (45145777) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43795 + ... + 44813.

It is an arithmetic number, because the mean of its divisors is an integer number (1593648).

Almost surely, 2^45145776 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 45145776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63745920).

45145776 is an abundant number, since it is smaller than the sum of its proper divisors (82346064).

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

45145776 is a wasteful number, since it uses less digits than its factorization.

45145776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1108 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 45145776 is about 6719.0606486324. The cubic root of 45145776 is about 356.0729976976.

The spelling of 45145776 in words is "forty-five million, one hundred forty-five thousand, seven hundred seventy-six".