136836000 has 384 divisors, whose sum is σ = 572382720. Its totient is φ = 31104000.

The previous prime is 136835999. The next prime is 136836001. The reversal of 136836000 is 638631.

It is an interprime number because it is at equal distance from previous prime (136835999) and next prime (136836001).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (136836001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 755910 + ... + 756090.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 2^136836000 is an apocalyptic number.

136836000 is a gapful number since it is divisible by the number (10) 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 136836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286191360).

136836000 is an abundant number, since it is smaller than the sum of its proper divisors (435546720).

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

136836000 is a wasteful number, since it uses less digits than its factorization.

136836000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 136836000 is about 11697.6920800643. The cubic root of 136836000 is about 515.3078876587.

It can be divided in two parts, 13683 and 6000, that added together give a 9-th power (19683 = 3⁹).

The spelling of 136836000 in words is "one hundred thirty-six million, eight hundred thirty-six thousand".