165613140 has 288 divisors, whose sum is σ = 654998400. Its totient is φ = 34352640.

The previous prime is 165613117. The next prime is 165613141. The reversal of 165613140 is 41316561.

165613140 is a `hidden beast` number, since 1 + 6 + 5 + 613 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165613141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290776 + ... + 291344.

It is an arithmetic number, because the mean of its divisors is an integer number (2274300).

Almost surely, 2^165613140 is an apocalyptic number.

165613140 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 165613140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327499200).

165613140 is an abundant number, since it is smaller than the sum of its proper divisors (489385260).

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

165613140 is a wasteful number, since it uses less digits than its factorization.

165613140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 165613140 is about 12869.0768899716. The cubic root of 165613140 is about 549.1592001500.

It can be divided in two parts, 16561 and 3140, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 165613140 in words is "one hundred sixty-five million, six hundred thirteen thousand, one hundred forty".