165366136091520 has 1536 divisors, whose sum is σ = 735805911859200. Its totient is φ = 33281193738240.

The previous prime is 165366136091503. The next prime is 165366136091521. The reversal of 165366136091520 is 25190631663561.

165366136091520 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 6 + 6 + 1 + 3 + 609 + 1 + 5 + 20 = 666.

It is a super-2 number, since 2×165366136091520² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165366136091521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1261587585 + ... + 1261718655.

It is an arithmetic number, because the mean of its divisors is an integer number (479040307200).

Almost surely, 2^{165366136091520} is an apocalyptic number.

165366136091520 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 165366136091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367902955929600).

165366136091520 is an abundant number, since it is smaller than the sum of its proper divisors (570439775767680).

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

165366136091520 is a wasteful number, since it uses less digits than its factorization.

165366136091520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131228 (or 131213 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 165366136091520 in words is "one hundred sixty-five trillion, three hundred sixty-six billion, one hundred thirty-six million, ninety-one thousand, five hundred twenty".