136068000 has 384 divisors, whose sum is σ = 509483520. Its totient is φ = 31539200.

The previous prime is 136067969. The next prime is 136068043. The reversal of 136068000 is 860631.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 4691986 + ... + 4692014.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2^136068000 is an apocalyptic number.

136068000 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 136068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254741760).

136068000 is an abundant number, since it is smaller than the sum of its proper divisors (373415520).

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

136068000 is a wasteful number, since it uses less digits than its factorization.

136068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 136068000 is about 11664.8189012946. The cubic root of 136068000 is about 514.3420132371.

The spelling of 136068000 in words is "one hundred thirty-six million, sixty-eight thousand".