161352000 has 336 divisors, whose sum is σ = 605771712. Its totient is φ = 42508800.

The previous prime is 161351989. The next prime is 161352001. The reversal of 161352000 is 253161.

161352000 is a `hidden beast` number, since 1 + 613 + 52 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161352001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943959 + ... + 1944041.

It is an arithmetic number, because the mean of its divisors is an integer number (1802892).

Almost surely, 2^161352000 is an apocalyptic number.

161352000 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 161352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302885856).

161352000 is an abundant number, since it is smaller than the sum of its proper divisors (444419712).

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

161352000 is an frugal number, since it uses more digits than its factorization.

161352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 161352000 is about 12702.4407103517. The cubic root of 161352000 is about 544.4083583221.

The spelling of 161352000 in words is "one hundred sixty-one million, three hundred fifty-two thousand".