161745600 has 168 divisors, whose sum is σ = 548282368. Its totient is φ = 41702400.

The previous prime is 161745593. The next prime is 161745607. The reversal of 161745600 is 6547161.

It is an interprime number because it is at equal distance from previous prime (161745593) and next prime (161745607).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (161745607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148257 + ... + 149343.

Almost surely, 2^161745600 is an apocalyptic number.

161745600 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 161745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274141184).

161745600 is an abundant number, since it is smaller than the sum of its proper divisors (386536768).

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

161745600 is a wasteful number, since it uses less digits than its factorization.

161745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 161745600 is about 12717.9243589510. The cubic root of 161745600 is about 544.8506731142.

The spelling of 161745600 in words is "one hundred sixty-one million, seven hundred forty-five thousand, six hundred".