165256432146 has 192 divisors, whose sum is σ = 413302151808. Its totient is φ = 49159001088.

The previous prime is 165256432127. The next prime is 165256432157. The reversal of 165256432146 is 641234652561.

165256432146 is a `hidden beast` number, since 1 + 6 + 52 + 564 + 32 + 1 + 4 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38101690 + ... + 38106026.

It is an arithmetic number, because the mean of its divisors is an integer number (2152615374).

Almost surely, 2^165256432146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165256432146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206651075904).

165256432146 is an abundant number, since it is smaller than the sum of its proper divisors (248045719662).

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

165256432146 is a wasteful number, since it uses less digits than its factorization.

165256432146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567 (or 4555 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 165256432146 in words is "one hundred sixty-five billion, two hundred fifty-six million, four hundred thirty-two thousand, one hundred forty-six".