136963008 has 336 divisors, whose sum is σ = 505724160. Its totient is φ = 35582976.

The previous prime is 136963007. The next prime is 136963009. The reversal of 136963008 is 800369631.

It is a happy number.

136963008 is a `hidden beast` number, since 13 + 6 + 9 + 630 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (136963007) and next prime (136963009).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136963007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2044191 + ... + 2044257.

Almost surely, 2^136963008 is an apocalyptic number.

136963008 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 136963008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252862080).

136963008 is an abundant number, since it is smaller than the sum of its proper divisors (368761152).

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

136963008 is a wasteful number, since it uses less digits than its factorization.

136963008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 136963008 is about 11703.1195841109. The cubic root of 136963008 is about 515.4672706316.

The spelling of 136963008 in words is "one hundred thirty-six million, nine hundred sixty-three thousand, eight".