165127460 has 48 divisors (see below), whose sum is σ = 372251376. Its totient is φ = 61304832.

The previous prime is 165127451. The next prime is 165127471. The reversal of 165127460 is 64721561.

165127460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6770404 + 158357056 = 2602^2 + 12584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21494 + ... + 28146.

It is an arithmetic number, because the mean of its divisors is an integer number (7755237).

Almost surely, 2^165127460 is an apocalyptic number.

165127460 is a gapful number since it is divisible by the number (10) 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 165127460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186125688).

165127460 is an abundant number, since it is smaller than the sum of its proper divisors (207123916).

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

165127460 is a wasteful number, since it uses less digits than its factorization.

165127460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6752 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 165127460 is about 12850.1929946597. The cubic root of 165127460 is about 548.6218498912.

The spelling of 165127460 in words is "one hundred sixty-five million, one hundred twenty-seven thousand, four hundred sixty".