413136192 has 112 divisors (see below), whose sum is σ = 1262522240. Its totient is φ = 116785152.

The previous prime is 413136187. The next prime is 413136197. The reversal of 413136192 is 291631314.

It is an interprime number because it is at equal distance from previous prime (413136187) and next prime (413136197).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413136197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128784 + ... + 131952.

It is an arithmetic number, because the mean of its divisors is an integer number (11272520).

Almost surely, 2^413136192 is an apocalyptic number.

413136192 is a gapful number since it is divisible by the number (42) 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 413136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631261120).

413136192 is an abundant number, since it is smaller than the sum of its proper divisors (849386048).

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

413136192 is a wasteful number, since it uses less digits than its factorization.

413136192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3278 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 413136192 is about 20325.7519418102. The cubic root of 413136192 is about 744.7852733117.

The spelling of 413136192 in words is "four hundred thirteen million, one hundred thirty-six thousand, one hundred ninety-two".