363131136 has 81 divisors (see below), whose sum is σ = 1049640501. Its totient is φ = 120738816.

The previous prime is 363131113. The next prime is 363131147. The reversal of 363131136 is 631131363.

The square root of 363131136 is 19056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 243360000 + 119771136 = 15600^2 + 10944^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 914490 + ... + 914886.

Almost surely, 2^363131136 is an apocalyptic number.

363131136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

363131136 is the 19056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363131136

363131136 is an abundant number, since it is smaller than the sum of its proper divisors (686509365).

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

363131136 is an frugal number, since it uses more digits than its factorization.

363131136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 402 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The cubic root of 363131136 is about 713.4351392435.

Multiplying 363131136 by its product of digits (2916), we get a square (1058890392576 = 1029024²).

Adding to 363131136 its reverse (631131363), we get a palindrome (994262499).

The spelling of 363131136 in words is "three hundred sixty-three million, one hundred thirty-one thousand, one hundred thirty-six".