165155600 has 120 divisors (see below), whose sum is σ = 431758080. Its totient is φ = 60480000.

The previous prime is 165155597. The next prime is 165155611. The reversal of 165155600 is 6551561.

It is a super-2 number, since 2×165155600² = 54552744422720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235250 + ... + 235950.

It is an arithmetic number, because the mean of its divisors is an integer number (3597984).

Almost surely, 2^165155600 is an apocalyptic number.

165155600 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 165155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215879040).

165155600 is an abundant number, since it is smaller than the sum of its proper divisors (266602480).

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

165155600 is a wasteful number, since it uses less digits than its factorization.

165155600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 165155600 is about 12851.2878732055. The cubic root of 165155600 is about 548.6530123681.

The spelling of 165155600 in words is "one hundred sixty-five million, one hundred fifty-five thousand, six hundred".