45152000 has 144 divisors (see below), whose sum is σ = 120530592. Its totient is φ = 16793600.

The previous prime is 45151979. The next prime is 45152053. The reversal of 45152000 is 25154.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 45152000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543959 + ... + 544041.

It is an arithmetic number, because the mean of its divisors is an integer number (837018).

Almost surely, 2^45152000 is an apocalyptic number.

45152000 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 45152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60265296).

45152000 is an abundant number, since it is smaller than the sum of its proper divisors (75378592).

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

45152000 is an equidigital number, since it uses as much as digits as its factorization.

45152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 45152000 is about 6719.5237926508. The cubic root of 45152000 is about 356.0893602214.

Adding to 45152000 its reverse (25154), we get a palindrome (45177154).

The spelling of 45152000 in words is "forty-five million, one hundred fifty-two thousand".