165413376000 has 312 divisors, whose sum is σ = 596314170504. Its totient is φ = 44109004800.

The previous prime is 165413375951. The next prime is 165413376001. The reversal of 165413376000 is 673314561.

165413376000 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 13 + 37 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2378317824 + 163035058176 = 48768^2 + 403776^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165413376001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4590052 + ... + 4625948.

It is an arithmetic number, because the mean of its divisors is an integer number (1911263367).

Almost surely, 2^165413376000 is an apocalyptic number.

165413376000 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 165413376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298157085252).

165413376000 is an abundant number, since it is smaller than the sum of its proper divisors (430900794504).

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

165413376000 is an equidigital number, since it uses as much as digits as its factorization.

165413376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35942 (or 35907 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 165413376000 in words is "one hundred sixty-five billion, four hundred thirteen million, three hundred seventy-six thousand".