165252337920 has 1440 divisors, whose sum is σ = 670713009120. Its totient is φ = 38645268480.

The previous prime is 165252337843. The next prime is 165252337927. The reversal of 165252337920 is 29733252561.

165252337920 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 523 + 37 + 92 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 36790308864 + 128462029056 = 191808^2 + 358416^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×165252337920³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165252337927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2709054690 + ... + 2709054750.

It is an arithmetic number, because the mean of its divisors is an integer number (465772923).

Almost surely, 2^165252337920 is an apocalyptic number.

165252337920 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 165252337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335356504560).

165252337920 is an abundant number, since it is smaller than the sum of its proper divisors (505460671200).

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

165252337920 is a wasteful number, since it uses less digits than its factorization.

165252337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 165252337920 in words is "one hundred sixty-five billion, two hundred fifty-two million, three hundred thirty-seven thousand, nine hundred twenty".