161751744 has 252 divisors, whose sum is σ = 589486248. Its totient is φ = 41932800.

The previous prime is 161751743. The next prime is 161751761. The reversal of 161751744 is 447157161.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a junction number, because it is equal to n+sod(n) for n = 161751699 and 161751708.

It is not an unprimeable number, because it can be changed into a prime (161751743) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310204 + ... + 310724.

Almost surely, 2^161751744 is an apocalyptic number.

161751744 is a gapful number since it is divisible by the number (14) 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 161751744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294743124).

161751744 is an abundant number, since it is smaller than the sum of its proper divisors (427734504).

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

161751744 is a wasteful number, since it uses less digits than its factorization.

161751744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 544 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 161751744 is about 12718.1659055070. The cubic root of 161751744 is about 544.8575718493.

It can be divided in two parts, 1617 and 51744, that added together give a square (53361 = 231²).

The spelling of 161751744 in words is "one hundred sixty-one million, seven hundred fifty-one thousand, seven hundred forty-four".