165739159105128 has 1536 divisors, whose sum is σ = 581849433600000. Its totient is φ = 44111171341440.

The previous prime is 165739159105067. The next prime is 165739159105189. The reversal of 165739159105128 is 821501951937561.

165739159105128 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 39 + 1 + 591 + 0 + 5 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (165739159105067) and next prime (165739159105189).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 785493644943 + ... + 785493645153.

It is an arithmetic number, because the mean of its divisors is an integer number (378808225000).

Almost surely, 2^{165739159105128} is an apocalyptic number.

165739159105128 is a gapful number since it is divisible by the number (18) 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 165739159105128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290924716800000).

165739159105128 is an abundant number, since it is smaller than the sum of its proper divisors (416110274494872).

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

165739159105128 is an frugal number, since it uses more digits than its factorization.

165739159105128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 63.

The spelling of 165739159105128 in words is "one hundred sixty-five trillion, seven hundred thirty-nine billion, one hundred fifty-nine million, one hundred five thousand, one hundred twenty-eight".