45186120 has 256 divisors, whose sum is σ = 177408000. Its totient is φ = 10015488.

The previous prime is 45186109. The next prime is 45186121. The reversal of 45186120 is 2168154.

45186120 is a `hidden beast` number, since 45 + 1 + 8 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45186121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325011 + ... + 325149.

It is an arithmetic number, because the mean of its divisors is an integer number (693000).

Almost surely, 2^45186120 is an apocalyptic number.

45186120 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 45186120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704000).

45186120 is an abundant number, since it is smaller than the sum of its proper divisors (132221880).

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

45186120 is a wasteful number, since it uses less digits than its factorization.

45186120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 45186120 is about 6722.0621835862. The cubic root of 45186120 is about 356.1790329553.

The spelling of 45186120 in words is "forty-five million, one hundred eighty-six thousand, one hundred twenty".