45146160 has 100 divisors (see below), whose sum is σ = 156821808. Its totient is φ = 12037248.

The previous prime is 45146159. The next prime is 45146177. The reversal of 45146160 is 6164154.

45146160 is a `hidden beast` number, since 45 + 1 + 4 + 616 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2997 + ... + 9963.

Almost surely, 2^45146160 is an apocalyptic number.

45146160 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 45146160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78410904).

45146160 is an abundant number, since it is smaller than the sum of its proper divisors (111675648).

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

45146160 is a wasteful number, since it uses less digits than its factorization.

45146160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6992 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45146160 is about 6719.0892239946. The cubic root of 45146160 is about 356.0740072541.

The spelling of 45146160 in words is "forty-five million, one hundred forty-six thousand, one hundred sixty".