136630368 has 384 divisors, whose sum is σ = 508032000. Its totient is φ = 34836480.

The previous prime is 136630357. The next prime is 136630379. The reversal of 136630368 is 863036631.

136630368 is a `hidden beast` number, since 13 + 6 + 630 + 3 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (136630357) and next prime (136630379).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3332428 + ... + 3332468.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 2^136630368 is an apocalyptic number.

136630368 is a gapful number since it is divisible by the number (18) 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 136630368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

136630368 is an abundant number, since it is smaller than the sum of its proper divisors (371401632).

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

136630368 is a wasteful number, since it uses less digits than its factorization.

136630368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 136630368 is about 11688.8993493827. The cubic root of 136630368 is about 515.0496298041.

Adding to 136630368 its reverse (863036631), we get a palindrome (999666999).

The spelling of 136630368 in words is "one hundred thirty-six million, six hundred thirty thousand, three hundred sixty-eight".