161300040 has 128 divisors (see below), whose sum is σ = 534211200. Its totient is φ = 38635520.

The previous prime is 161300023. The next prime is 161300089. The reversal of 161300040 is 40003161.

161300040 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 (15).

It is a junction number, because it is equal to n+sod(n) for n = 161299992 and 161300019.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116794 + ... + 118166.

It is an arithmetic number, because the mean of its divisors is an integer number (4173525).

Almost surely, 2^161300040 is an apocalyptic number.

161300040 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 161300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267105600).

161300040 is an abundant number, since it is smaller than the sum of its proper divisors (372911160).

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

161300040 is a wasteful number, since it uses less digits than its factorization.

161300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 161300040 is about 12700.3952694395. The cubic root of 161300040 is about 544.3499136478.

The spelling of 161300040 in words is "one hundred sixty-one million, three hundred thousand, forty".