165256756 has 48 divisors (see below), whose sum is σ = 354533760. Its totient is φ = 65819520.

The previous prime is 165256739. The next prime is 165256757. The reversal of 165256756 is 657652561.

165256756 is nontrivially palindromic in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165256757) 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, 25266 + ... + 31126.

It is an arithmetic number, because the mean of its divisors is an integer number (7386120).

Almost surely, 2^165256756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165256756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177266880).

165256756 is an abundant number, since it is smaller than the sum of its proper divisors (189277004).

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

165256756 is a wasteful number, since it uses less digits than its factorization.

165256756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5942 counting only the distinct ones).

The product of its digits is 378000, while the sum is 43.

The square root of 165256756 is about 12855.2229074412. Note that the first 3 decimals coincide. The cubic root of 165256756 is about 548.7650041646.

The spelling of 165256756 in words is "one hundred sixty-five million, two hundred fifty-six thousand, seven hundred fifty-six".