136168000 has 56 divisors (see below), whose sum is σ = 337239864. Its totient is φ = 54464000.

The previous prime is 136167991. The next prime is 136168001. The reversal of 136168000 is 861631.

It can be written as a sum of positive squares in 4 ways, for example, as 1236544 + 134931456 = 1112^2 + 11616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (136168001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511 + ... + 16510.

Almost surely, 2^136168000 is an apocalyptic number.

136168000 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 136168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168619932).

136168000 is an abundant number, since it is smaller than the sum of its proper divisors (201071864).

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

136168000 is an equidigital number, since it uses as much as digits as its factorization.

136168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17048 (or 17028 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 136168000 is about 11669.1045072019. The cubic root of 136168000 is about 514.4679836008.

The spelling of 136168000 in words is "one hundred thirty-six million, one hundred sixty-eight thousand".