45158200 has 48 divisors (see below), whose sum is σ = 109568880. Its totient is φ = 17276160.

The previous prime is 45158159. The next prime is 45158207. The reversal of 45158200 is 285154.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45158207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309 + ... + 9508.

It is an arithmetic number, because the mean of its divisors is an integer number (2282685).

Almost surely, 2^45158200 is an apocalyptic number.

45158200 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 45158200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54784440).

45158200 is an abundant number, since it is smaller than the sum of its proper divisors (64410680).

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

45158200 is a wasteful number, since it uses less digits than its factorization.

45158200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9856 (or 9847 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 45158200 is about 6719.9851190311. The cubic root of 45158200 is about 356.1056581557.

The spelling of 45158200 in words is "forty-five million, one hundred fifty-eight thousand, two hundred".