161751313152 has 1512 divisors, whose sum is σ = 623981895600. Its totient is φ = 41385738240.

The previous prime is 161751313117. The next prime is 161751313201. The reversal of 161751313152 is 251313157161.

161751313152 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 513 + 131 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5577631474 + ... + 5577631502.

Almost surely, 2^161751313152 is an apocalyptic number.

161751313152 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 161751313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311990947800).

161751313152 is an abundant number, since it is smaller than the sum of its proper divisors (462230582448).

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

161751313152 is a wasteful number, since it uses less digits than its factorization.

161751313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 77 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The spelling of 161751313152 in words is "one hundred sixty-one billion, seven hundred fifty-one million, three hundred thirteen thousand, one hundred fifty-two".