165287040 has 128 divisors (see below), whose sum is σ = 544043520. Its totient is φ = 42639360.

The previous prime is 165287033. The next prime is 165287047. The reversal of 165287040 is 40782561.

It is an interprime number because it is at equal distance from previous prime (165287033) and next prime (165287047).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 165286992 and 165287010.

It is not an unprimeable number, because it can be changed into a prime (165287047) 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, 58132 + ... + 60908.

It is an arithmetic number, because the mean of its divisors is an integer number (4250340).

Almost surely, 2^165287040 is an apocalyptic number.

165287040 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 165287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272021760).

165287040 is an abundant number, since it is smaller than the sum of its proper divisors (378756480).

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

165287040 is a wasteful number, since it uses less digits than its factorization.

165287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 165287040 is about 12856.4007404872. The cubic root of 165287040 is about 548.7985232871.

The spelling of 165287040 in words is "one hundred sixty-five million, two hundred eighty-seven thousand, forty".