1361613136 has 40 divisors (see below), whose sum is σ = 2873019240. Its totient is φ = 621367296.

The previous prime is 1361613109. The next prime is 1361613137. The reversal of 1361613136 is 6313161631.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 1361610000 = 56^2 + 36900^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1361613098 and 1361613107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361613137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18265 + ... + 55288.

It is an arithmetic number, because the mean of its divisors is an integer number (71825481).

Almost surely, 2^1361613136 is an apocalyptic number.

1361613136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1361613136 is an abundant number, since it is smaller than the sum of its proper divisors (1511406104).

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

1361613136 is a wasteful number, since it uses less digits than its factorization.

1361613136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73663 (or 73657 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The square root of 1361613136 is about 36900.0424932005. The cubic root of 1361613136 is about 1108.3695283762.

Adding to 1361613136 its reverse (6313161631), we get a palindrome (7674774767).

It can be divided in two parts, 136161 and 3136, that multiplied together give a square (427000896 = 20664²).

The spelling of 1361613136 in words is "one billion, three hundred sixty-one million, six hundred thirteen thousand, one hundred thirty-six".