45158256 has 320 divisors, whose sum is σ = 164989440. Its totient is φ = 11612160.

The previous prime is 45158237. The next prime is 45158257. The reversal of 45158256 is 65285154.

45158256 is a nontrivial binomial coefficient, being equal to C(9504, 2).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45158256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45158257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1050171 + ... + 1050213.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^45158256 is an apocalyptic number.

45158256 is the 9503-rd triangular number and also the 4752-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45158256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

45158256 is an abundant number, since it is smaller than the sum of its proper divisors (119831184).

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

45158256 is a wasteful number, since it uses less digits than its factorization.

45158256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 45158256 is about 6719.9892857057. The cubic root of 45158256 is about 356.1058053560.

The spelling of 45158256 in words is "forty-five million, one hundred fifty-eight thousand, two hundred fifty-six".