165251268 has 144 divisors (see below), whose sum is σ = 521911936. Its totient is φ = 42923520.

The previous prime is 165251267. The next prime is 165251269. The reversal of 165251268 is 862152561.

165251268 is a `hidden beast` number, since 1 + 6 + 525 + 126 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (165251267) and next prime (165251269).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165251263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238803 + ... + 239493.

Almost surely, 2^165251268 is an apocalyptic number.

165251268 is a gapful number since it is divisible by the number (18) 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 165251268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260955968).

165251268 is an abundant number, since it is smaller than the sum of its proper divisors (356660668).

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

165251268 is a wasteful number, since it uses less digits than its factorization.

165251268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 789 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 165251268 is about 12855.0094515718. The cubic root of 165251268 is about 548.7589294645.

The spelling of 165251268 in words is "one hundred sixty-five million, two hundred fifty-one thousand, two hundred sixty-eight".