136136700 has 270 divisors, whose sum is σ = 514847256. Its totient is φ = 31116960.

The previous prime is 136136669. The next prime is 136136719. The reversal of 136136700 is 7631631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (270).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 19448097 + ... + 19448103.

Almost surely, 2^136136700 is an apocalyptic number.

136136700 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 136136700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257423628).

136136700 is an abundant number, since it is smaller than the sum of its proper divisors (378710556).

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

136136700 is an frugal number, since it uses more digits than its factorization.

136136700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 136136700 is about 11667.7632817948. The cubic root of 136136700 is about 514.4285615098.

Multiplying 136136700 by its product of nonzero digits (2268), we get a square (308758035600 = 555660²).

136136700 divided by its product of nonzero digits (2268) gives a square (60025 = 245²).

The spelling of 136136700 in words is "one hundred thirty-six million, one hundred thirty-six thousand, seven hundred".