45139968 has 144 divisors (see below), whose sum is σ = 136281600. Its totient is φ = 14376960.

The previous prime is 45139967. The next prime is 45140003. The reversal of 45139968 is 86993154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×45139968⁴ (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45139967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571353 + ... + 571431.

It is an arithmetic number, because the mean of its divisors is an integer number (946400).

Almost surely, 2^45139968 is an apocalyptic number.

45139968 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 45139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68140800).

45139968 is an abundant number, since it is smaller than the sum of its proper divisors (91141632).

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

45139968 is a wasteful number, since it uses less digits than its factorization.

45139968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 45139968 is about 6718.6284314583. The cubic root of 45139968 is about 356.0577274564.

The spelling of 45139968 in words is "forty-five million, one hundred thirty-nine thousand, nine hundred sixty-eight".