165146670000 has 1800 divisors, whose sum is σ = 725258517984. Its totient is φ = 34670592000.

The previous prime is 165146669939. The next prime is 165146670043. The reversal of 165146670000 is 76641561.

165146670000 is a `hidden beast` number, since 16 + 514 + 66 + 70 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×165146670000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7180289989 + ... + 7180290011.

Almost surely, 2^165146670000 is an apocalyptic number.

165146670000 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 165146670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362629258992).

165146670000 is an abundant number, since it is smaller than the sum of its proper divisors (560111847984).

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

165146670000 is a wasteful number, since it uses less digits than its factorization.

165146670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 165146670000 in words is "one hundred sixty-five billion, one hundred forty-six million, six hundred seventy thousand".