165252120 has 192 divisors, whose sum is σ = 574560000. Its totient is φ = 37889280.

The previous prime is 165252107. The next prime is 165252133. The reversal of 165252120 is 21252561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (165252107) and next prime (165252133).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 275581 + ... + 276179.

It is an arithmetic number, because the mean of its divisors is an integer number (2992500).

Almost surely, 2^165252120 is an apocalyptic number.

165252120 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 165252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280000).

165252120 is an abundant number, since it is smaller than the sum of its proper divisors (409307880).

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

165252120 is a wasteful number, since it uses less digits than its factorization.

165252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 165252120 is about 12855.0425903612. The cubic root of 165252120 is about 548.7598725572.

The spelling of 165252120 in words is "one hundred sixty-five million, two hundred fifty-two thousand, one hundred twenty".