161739505009152 has 2560 divisors, whose sum is σ = 594821814681600. Its totient is φ = 42430832640000.

The previous prime is 161739505009139. The next prime is 161739505009171. The reversal of 161739505009152 is 251900505937161.

It is a happy number.

161739505009152 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 39 + 50 + 500 + 9 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 766537938327 + ... + 766537938537.

It is an arithmetic number, because the mean of its divisors is an integer number (232352271360).

Almost surely, 2^{161739505009152} is an apocalyptic number.

161739505009152 is a gapful number since it is divisible by the number (12) 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 161739505009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297410907340800).

161739505009152 is an abundant number, since it is smaller than the sum of its proper divisors (433082309672448).

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

161739505009152 is a wasteful number, since it uses less digits than its factorization.

161739505009152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 54.

The spelling of 161739505009152 in words is "one hundred sixty-one trillion, seven hundred thirty-nine billion, five hundred five million, nine thousand, one hundred fifty-two".