165257280 has 224 divisors, whose sum is σ = 602772480. Its totient is φ = 42577920.

The previous prime is 165257263. The next prime is 165257291. The reversal of 165257280 is 82752561.

It is a happy number.

165257280 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 572 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267532 + ... + 268148.

Almost surely, 2^165257280 is an apocalyptic number.

165257280 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 165257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301386240).

165257280 is an abundant number, since it is smaller than the sum of its proper divisors (437515200).

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

165257280 is a wasteful number, since it uses less digits than its factorization.

165257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 165257280 is about 12855.2432882462. The cubic root of 165257280 is about 548.7655841763.

The spelling of 165257280 in words is "one hundred sixty-five million, two hundred fifty-seven thousand, two hundred eighty".