161655760135300 has 288 divisors, whose sum is σ = 378585447543072. Its totient is φ = 59700223672320.

The previous prime is 161655760135229. The next prime is 161655760135307. The reversal of 161655760135300 is 3531067556161.

It can be written as a sum of positive squares in 48 ways, for example, as 151712282659716 + 9943477475584 = 12317154^2 + 3153328^2 .

It is a super-2 number, since 2×161655760135300² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161655760135307) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7303823034 + ... + 7303845166.

It is an arithmetic number, because the mean of its divisors is an integer number (1314532803969).

Almost surely, 2^{161655760135300} is an apocalyptic number.

161655760135300 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 161655760135300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189292723771536).

161655760135300 is an abundant number, since it is smaller than the sum of its proper divisors (216929687407772).

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

161655760135300 is a wasteful number, since it uses less digits than its factorization.

161655760135300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22667 (or 22660 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 49.

The spelling of 161655760135300 in words is "one hundred sixty-one trillion, six hundred fifty-five billion, seven hundred sixty million, one hundred thirty-five thousand, three hundred".