45537120 has 192 divisors, whose sum is σ = 162570240. Its totient is φ = 11902464.

The previous prime is 45537113. The next prime is 45537133. The reversal of 45537120 is 2173554.

It is a happy number.

45537120 is a `hidden beast` number, since 4 + 5 + 537 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358497 + ... + 358623.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 2^45537120 is an apocalyptic number.

45537120 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 45537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

45537120 is an abundant number, since it is smaller than the sum of its proper divisors (117033120).

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

45537120 is a wasteful number, since it uses less digits than its factorization.

45537120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 45537120 is about 6748.1197381196. The cubic root of 45537120 is about 357.0989062868.

The spelling of 45537120 in words is "forty-five million, five hundred thirty-seven thousand, one hundred twenty".