45138912 has 96 divisors (see below), whose sum is σ = 145861632. Its totient is φ = 11902464.

The previous prime is 45138911. The next prime is 45138917. The reversal of 45138912 is 21983154.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45138911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6153 + ... + 11319.

It is an arithmetic number, because the mean of its divisors is an integer number (1519392).

Almost surely, 2^45138912 is an apocalyptic number.

45138912 is a gapful number since it is divisible by the number (42) 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 45138912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72930816).

45138912 is an abundant number, since it is smaller than the sum of its proper divisors (100722720).

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

45138912 is a wasteful number, since it uses less digits than its factorization.

45138912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5192 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 45138912 is about 6718.5498435302. The cubic root of 45138912 is about 356.0549509082.

The spelling of 45138912 in words is "forty-five million, one hundred thirty-eight thousand, nine hundred twelve".