45037000 has 64 divisors (see below), whose sum is σ = 109090800. Its totient is φ = 17382400.

The previous prime is 45036989. The next prime is 45037007. The reversal of 45037000 is 73054.

It can be written as a sum of positive squares in 8 ways, for example, as 66564 + 44970436 = 258^2 + 6706^2 .

It is not an unprimeable number, because it can be changed into a prime (45037007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28224 + ... + 29776.

Almost surely, 2^45037000 is an apocalyptic number.

45037000 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 45037000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54545400).

45037000 is an abundant number, since it is smaller than the sum of its proper divisors (64053800).

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

45037000 is a wasteful number, since it uses less digits than its factorization.

45037000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 45037000 is about 6710.9611830199. The cubic root of 45037000 is about 355.7867889669.

The spelling of 45037000 in words is "forty-five million, thirty-seven thousand".