161347200 has 288 divisors, whose sum is σ = 620004960. Its totient is φ = 36879360.

The previous prime is 161347127. The next prime is 161347243. The reversal of 161347200 is 2743161.

161347200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23049597 + ... + 23049603.

It is an arithmetic number, because the mean of its divisors is an integer number (2152795).

Almost surely, 2^161347200 is an apocalyptic number.

161347200 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 161347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310002480).

161347200 is an abundant number, since it is smaller than the sum of its proper divisors (458657760).

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

161347200 is an frugal number, since it uses more digits than its factorization.

161347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 161347200 is about 12702.2517688794. The cubic root of 161347200 is about 544.4029598021.

It can be divided in two parts, 161 and 347200, that added together give a triangular number (347361 = T₈₃₃).

The spelling of 161347200 in words is "one hundred sixty-one million, three hundred forty-seven thousand, two hundred".