136287936 has 168 divisors, whose sum is σ = 416052000. Its totient is φ = 42577920.

The previous prime is 136287917. The next prime is 136287947. The reversal of 136287936 is 639782631.

136287936 is a `hidden beast` number, since 13 + 628 + 7 + 9 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 136287891 and 136287900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684765 + ... + 684963.

It is an arithmetic number, because the mean of its divisors is an integer number (2476500).

Almost surely, 2^136287936 is an apocalyptic number.

136287936 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 136287936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208026000).

136287936 is an abundant number, since it is smaller than the sum of its proper divisors (279764064).

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

136287936 is a wasteful number, since it uses less digits than its factorization.

136287936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 136287936 is about 11674.2424165339. The cubic root of 136287936 is about 514.6189861001.

It can be divided in two parts, 1362 and 87936, that added together give a palindrome (89298).

The spelling of 136287936 in words is "one hundred thirty-six million, two hundred eighty-seven thousand, nine hundred thirty-six".