45154720 has 96 divisors (see below), whose sum is σ = 121737168. Its totient is φ = 15679488.

The previous prime is 45154691. The next prime is 45154721. The reversal of 45154720 is 2745154.

It can be written as a sum of positive squares in 8 ways, for example, as 20830096 + 24324624 = 4564^2 + 4932^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45154721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34722 + ... + 35998.

Almost surely, 2^45154720 is an apocalyptic number.

45154720 is a gapful number since it is divisible by the number (40) 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 45154720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60868584).

45154720 is an abundant number, since it is smaller than the sum of its proper divisors (76582448).

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

45154720 is a wasteful number, since it uses less digits than its factorization.

45154720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 45154720 is about 6719.7261848977. The cubic root of 45154720 is about 356.0965104665.

Adding to 45154720 its reverse (2745154), we get a palindrome (47899874).

The spelling of 45154720 in words is "forty-five million, one hundred fifty-four thousand, seven hundred twenty".