413131136 has 64 divisors (see below), whose sum is σ = 945172800. Its totient is φ = 177891840.

The previous prime is 413131133. The next prime is 413131177. The reversal of 413131136 is 631131314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413131133) 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 7 ways as a sum of consecutive naturals, for example, 19031 + ... + 34473.

It is an arithmetic number, because the mean of its divisors is an integer number (14768325).

Almost surely, 2^413131136 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 413131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472586400).

413131136 is an abundant number, since it is smaller than the sum of its proper divisors (532041664).

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

413131136 is a wasteful number, since it uses less digits than its factorization.

413131136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15487 (or 15475 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 413131136 is about 20325.6275671872. The cubic root of 413131136 is about 744.7822350483.

The spelling of 413131136 in words is "four hundred thirteen million, one hundred thirty-one thousand, one hundred thirty-six".