161538800 has 60 divisors (see below), whose sum is σ = 389412576. Its totient is φ = 64396800.

The previous prime is 161538791. The next prime is 161538829. The reversal of 161538800 is 8835161.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171932 + ... + 172868.

Almost surely, 2^161538800 is an apocalyptic number.

161538800 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 161538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194706288).

161538800 is an abundant number, since it is smaller than the sum of its proper divisors (227873776).

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

161538800 is a wasteful number, since it uses less digits than its factorization.

161538800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 161538800 is about 12709.7915010436. The cubic root of 161538800 is about 544.6183676221.

The spelling of 161538800 in words is "one hundred sixty-one million, five hundred thirty-eight thousand, eight hundred".