45114000 has 160 divisors (see below), whose sum is σ = 148871424. Its totient is φ = 11750400.

The previous prime is 45113983. The next prime is 45114001. The reversal of 45114000 is 41154.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (45114001) 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, 437949 + ... + 438051.

Almost surely, 2^45114000 is an apocalyptic number.

45114000 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 45114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74435712).

45114000 is an abundant number, since it is smaller than the sum of its proper divisors (103757424).

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

45114000 is a wasteful number, since it uses less digits than its factorization.

45114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 45114000 is about 6716.6956161494. The cubic root of 45114000 is about 355.9894370472.

Adding to 45114000 its reverse (41154), we get a palindrome (45155154).

The spelling of 45114000 in words is "forty-five million, one hundred fourteen thousand".