160242040138752 has 3168 divisors, whose sum is σ = 607344326184960. Its totient is φ = 40273359667200.

The previous prime is 160242040138703. The next prime is 160242040138777. The reversal of 160242040138752 is 257831040242061.

160242040138752 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 420 + 40 + 138 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×160242040138752² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 160242040138698 and 160242040138707.

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 287 ways as a sum of consecutive naturals, for example, 382439236399 + ... + 382439236817.

Almost surely, 2^{160242040138752} is an apocalyptic number.

160242040138752 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 160242040138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303672163092480).

160242040138752 is an abundant number, since it is smaller than the sum of its proper divisors (447102286046208).

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

160242040138752 is a wasteful number, since it uses less digits than its factorization.

160242040138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 160242040138752 in words is "one hundred sixty trillion, two hundred forty-two billion, forty million, one hundred thirty-eight thousand, seven hundred fifty-two".