4137120 has 216 divisors, whose sum is σ = 16186716. Its totient is φ = 958464.

The previous prime is 4137113. The next prime is 4137121. The reversal of 4137120 is 217314.

It can be written as a sum of positive squares in 6 ways, for example, as 853776 + 3283344 = 924^2 + 1812^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4137093 and 4137102.

It is not an unprimeable number, because it can be changed into a prime (4137121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243352 + ... + 243368.

Almost surely, 2^4137120 is an apocalyptic number.

4137120 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 4137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8093358).

4137120 is an abundant number, since it is smaller than the sum of its proper divisors (12049596).

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

4137120 is a wasteful number, since it uses less digits than its factorization.

4137120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4137120 is about 2033.9911504232. The cubic root of 4137120 is about 160.5336348992.

The spelling of 4137120 in words is "four million, one hundred thirty-seven thousand, one hundred twenty".