45136000 has 256 divisors, whose sum is σ = 142571520. Its totient is φ = 13824000.

The previous prime is 45135997. The next prime is 45136009. The reversal of 45136000 is 63154.

It is not an unprimeable number, because it can be changed into a prime (45136009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1455985 + ... + 1456015.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 2^45136000 is an apocalyptic number.

45136000 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 45136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71285760).

45136000 is an abundant number, since it is smaller than the sum of its proper divisors (97435520).

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

45136000 is a wasteful number, since it uses less digits than its factorization.

45136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 45136000 is about 6718.3331266022. Note that the first 3 decimals coincide. The cubic root of 45136000 is about 356.0472941418.

Adding to 45136000 its reverse (63154), we get a palindrome (45199154).

The spelling of 45136000 in words is "forty-five million, one hundred thirty-six thousand".