165993750 has 144 divisors (see below), whose sum is σ = 486250128. Its totient is φ = 40680000.

The previous prime is 165993743. The next prime is 165993761. The reversal of 165993750 is 57399561.

165993750 is a `hidden beast` number, since 1 + 6 + 599 + 3 + 7 + 50 = 666.

It is a super-3 number, since 3×165993750³ (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 165993696 and 165993705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 731137 + ... + 731363.

It is an arithmetic number, because the mean of its divisors is an integer number (3376737).

Almost surely, 2^165993750 is an apocalyptic number.

165993750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165993750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

165993750 is an abundant number, since it is smaller than the sum of its proper divisors (320256378).

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

165993750 is a wasteful number, since it uses less digits than its factorization.

165993750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 165993750 is about 12883.8561774028. The cubic root of 165993750 is about 549.5795685024.

The spelling of 165993750 in words is "one hundred sixty-five million, nine hundred ninety-three thousand, seven hundred fifty".