45134208 has 192 divisors, whose sum is σ = 154346400. Its totient is φ = 12386304.

The previous prime is 45134207. The next prime is 45134209. The reversal of 45134208 is 80243154.

45134208 is a `hidden beast` number, since 451 + 3 + 4 + 208 = 666.

It is an interprime number because it is at equal distance from previous prime (45134207) and next prime (45134209).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45134207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233760 + ... + 233952.

Almost surely, 2^45134208 is an apocalyptic number.

45134208 is a gapful number since it is divisible by the number (48) 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 45134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77173200).

45134208 is an abundant number, since it is smaller than the sum of its proper divisors (109212192).

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

45134208 is a wasteful number, since it uses less digits than its factorization.

45134208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45134208 is about 6718.1997588640. The cubic root of 45134208 is about 356.0425821219.

The spelling of 45134208 in words is "forty-five million, one hundred thirty-four thousand, two hundred eight".