161133408 has 96 divisors (see below), whose sum is σ = 472348800. Its totient is φ = 53440128.

The previous prime is 161133407. The next prime is 161133431. The reversal of 161133408 is 804331161.

161133408 is a `hidden beast` number, since 1 + 611 + 3 + 3 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161133407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244183 + ... + 244841.

It is an arithmetic number, because the mean of its divisors is an integer number (4920300).

Almost surely, 2^161133408 is an apocalyptic number.

161133408 is a gapful number since it is divisible by the number (18) 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 161133408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236174400).

161133408 is an abundant number, since it is smaller than the sum of its proper divisors (311215392).

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

161133408 is a wasteful number, since it uses less digits than its factorization.

161133408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 161133408 is about 12693.8334635365. The cubic root of 161133408 is about 544.1624010520.

Adding to 161133408 its reverse (804331161), we get a palindrome (965464569).

The spelling of 161133408 in words is "one hundred sixty-one million, one hundred thirty-three thousand, four hundred eight".