45015152 has 80 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 17369856.

The previous prime is 45015121. The next prime is 45015169. The reversal of 45015152 is 25151054.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62249 + ... + 62967.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 2^45015152 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 45015152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

45015152 is an abundant number, since it is smaller than the sum of its proper divisors (64977808).

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

45015152 is a wasteful number, since it uses less digits than its factorization.

45015152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 45015152 is about 6709.3332008479. Note that the first 3 decimals coincide. The cubic root of 45015152 is about 355.7292474857.

The spelling of 45015152 in words is "forty-five million, fifteen thousand, one hundred fifty-two".