45037120 has 28 divisors (see below), whose sum is σ = 107245404. Its totient is φ = 18014720.

The previous prime is 45037117. The next prime is 45037123. The reversal of 45037120 is 2173054.

It is an interprime number because it is at equal distance from previous prime (45037117) and next prime (45037123).

It can be written as a sum of positive squares in 2 ways, for example, as 19149376 + 25887744 = 4376^2 + 5088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45037091 and 45037100.

It is not an unprimeable number, because it can be changed into a prime (45037123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70051 + ... + 70690.

It is an arithmetic number, because the mean of its divisors is an integer number (3830193).

Almost surely, 2^45037120 is an apocalyptic number.

45037120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45037120 is an abundant number, since it is smaller than the sum of its proper divisors (62208284).

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

45037120 is a wasteful number, since it uses less digits than its factorization.

45037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140758 (or 140748 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 45037120 is about 6710.9701236110. The cubic root of 45037120 is about 355.7871049618.

The spelling of 45037120 in words is "forty-five million, thirty-seven thousand, one hundred twenty".