136123200 has 336 divisors, whose sum is σ = 521573760. Its totient is φ = 34467840.

The previous prime is 136123171. The next prime is 136123243. The reversal of 136123200 is 2321631.

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

It is a congruent number.

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, 993532 + ... + 993668.

Almost surely, 2^136123200 is an apocalyptic number.

136123200 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 136123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260786880).

136123200 is an abundant number, since it is smaller than the sum of its proper divisors (385450560).

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

136123200 is a wasteful number, since it uses less digits than its factorization.

136123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 136123200 is about 11667.1847504014. The cubic root of 136123200 is about 514.4115565063.

Adding to 136123200 its reverse (2321631), we get a palindrome (138444831).

The spelling of 136123200 in words is "one hundred thirty-six million, one hundred twenty-three thousand, two hundred".