207135120 has 80 divisors (see below), whose sum is σ = 645494400. Its totient is φ = 54945792.

The previous prime is 207135119. The next prime is 207135121. The reversal of 207135120 is 21531702.

It is an interprime number because it is at equal distance from previous prime (207135119) and next prime (207135121).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (207135121) 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, 45592 + ... + 49928.

It is an arithmetic number, because the mean of its divisors is an integer number (8068680).

Almost surely, 2^207135120 is an apocalyptic number.

207135120 is a gapful number since it is divisible by the number (20) 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 207135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322747200).

207135120 is an abundant number, since it is smaller than the sum of its proper divisors (438359280).

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

207135120 is a wasteful number, since it uses less digits than its factorization.

207135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 207135120 is about 14392.1895485016. The cubic root of 207135120 is about 591.6768537116.

Adding to 207135120 its reverse (21531702), we get a palindrome (228666822).

The spelling of 207135120 in words is "two hundred seven million, one hundred thirty-five thousand, one hundred twenty".