1361213136 has 120 divisors (see below), whose sum is σ = 3997244160. Its totient is φ = 431827200.

The previous prime is 1361213129. The next prime is 1361213153. The reversal of 1361213136 is 6313121631.

1361213136 is a `hidden beast` number, since 1 + 3 + 612 + 13 + 1 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 294201 + ... + 298791.

It is an arithmetic number, because the mean of its divisors is an integer number (33310368).

Almost surely, 2^1361213136 is an apocalyptic number.

1361213136 is a gapful number since it is divisible by the number (16) 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 1361213136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998622080).

1361213136 is an abundant number, since it is smaller than the sum of its proper divisors (2636031024).

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

1361213136 is a wasteful number, since it uses less digits than its factorization.

1361213136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4696 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 1361213136 is about 36894.6220471223. The cubic root of 1361213136 is about 1108.2609828036.

Adding to 1361213136 its reverse (6313121631), we get a palindrome (7674334767).

The spelling of 1361213136 in words is "one billion, three hundred sixty-one million, two hundred thirteen thousand, one hundred thirty-six".