45194160 has 320 divisors, whose sum is σ = 173560320. Its totient is φ = 9584640.

The previous prime is 45194159. The next prime is 45194173. The reversal of 45194160 is 6149154.

It is a happy number.

45194160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 852694 + ... + 852746.

It is an arithmetic number, because the mean of its divisors is an integer number (542376).

Almost surely, 2^45194160 is an apocalyptic number.

45194160 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 45194160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86780160).

45194160 is an abundant number, since it is smaller than the sum of its proper divisors (128366160).

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

45194160 is a wasteful number, since it uses less digits than its factorization.

45194160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 45194160 is about 6722.6601877531. The cubic root of 45194160 is about 356.2001567694.

It can be divided in two parts, 45194 and 160, that added together give a palindrome (45354).

The spelling of 45194160 in words is "forty-five million, one hundred ninety-four thousand, one hundred sixty".