165311009136 has 600 divisors, whose sum is σ = 634698907920. Its totient is φ = 41030406144.

The previous prime is 165311009099. The next prime is 165311009159. The reversal of 165311009136 is 631900113561.

165311009136 is a `hidden beast` number, since 1 + 6 + 531 + 1 + 0 + 0 + 91 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 165311009136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14028495 + ... + 14040273.

Almost surely, 2^165311009136 is an apocalyptic number.

165311009136 is a gapful number since it is divisible by the number (16) 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 165311009136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317349453960).

165311009136 is an abundant number, since it is smaller than the sum of its proper divisors (469387898784).

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

165311009136 is a wasteful number, since it uses less digits than its factorization.

165311009136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11843 (or 11821 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 165311009136 in words is "one hundred sixty-five billion, three hundred eleven million, nine thousand, one hundred thirty-six".