165261900 has 144 divisors (see below), whose sum is σ = 511467264. Its totient is φ = 41099520.

The previous prime is 165261851. The next prime is 165261959. The reversal of 165261900 is 9162561.

165261900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165261900² = 54622991183220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296422 + ... + 296978.

It is an arithmetic number, because the mean of its divisors is an integer number (3551856).

Almost surely, 2^165261900 is an apocalyptic number.

165261900 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 165261900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255733632).

165261900 is an abundant number, since it is smaller than the sum of its proper divisors (346205364).

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

165261900 is a wasteful number, since it uses less digits than its factorization.

165261900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 165261900 is about 12855.4229802057. The cubic root of 165261900 is about 548.7706979669.

The spelling of 165261900 in words is "one hundred sixty-five million, two hundred sixty-one thousand, nine hundred".