161552000 has 128 divisors (see below), whose sum is σ = 420076800. Its totient is φ = 61670400.

The previous prime is 161551987. The next prime is 161552021. The reversal of 161552000 is 255161.

161552000 = 18² + 19² + ... + 785².

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367781 + ... + 368219.

It is an arithmetic number, because the mean of its divisors is an integer number (3281850).

Almost surely, 2^161552000 is an apocalyptic number.

161552000 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 161552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210038400).

161552000 is an abundant number, since it is smaller than the sum of its proper divisors (258524800).

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

161552000 is an equidigital number, since it uses as much as digits as its factorization.

161552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 161552000 is about 12710.3107751148. The cubic root of 161552000 is about 544.6332015539.

The spelling of 161552000 in words is "one hundred sixty-one million, five hundred fifty-two thousand".