136116000 has 288 divisors, whose sum is σ = 511056000. Its totient is φ = 34214400.

The previous prime is 136115999. The next prime is 136116011. The reversal of 136116000 is 611631.

136116000 is a `hidden beast` number, since 1 + 3 + 61 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683901 + ... + 684099.

It is an arithmetic number, because the mean of its divisors is an integer number (1774500).

Almost surely, 2^136116000 is an apocalyptic number.

136116000 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 136116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255528000).

136116000 is an abundant number, since it is smaller than the sum of its proper divisors (374940000).

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

136116000 is a wasteful number, since it uses less digits than its factorization.

136116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 136116000 is about 11666.8761885948. The cubic root of 136116000 is about 514.4024867115.

Adding to 136116000 its reverse (611631), we get a palindrome (136727631).

The spelling of 136116000 in words is "one hundred thirty-six million, one hundred sixteen thousand".