413136 has 60 divisors (see below), whose sum is σ = 1225120. Its totient is φ = 129600.

The previous prime is 413129. The next prime is 413141. The reversal of 413136 is 631314.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

413136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2661 + ... + 2811.

2⁴¹³¹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612560).

413136 is an abundant number, since it is smaller than the sum of its proper divisors (811984).

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

413136 is a wasteful number, since it uses less digits than its factorization.

413136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 413136 is about 642.7565635604. The cubic root of 413136 is about 74.4785157935.

The spelling of 413136 in words is "four hundred thirteen thousand, one hundred thirty-six".