136233900 has 270 divisors, whose sum is σ = 488905340. Its totient is φ = 32788800.

The previous prime is 136233883. The next prime is 136233907. The reversal of 136233900 is 9332631.

136233900 is a `hidden beast` number, since 1 + 3 + 623 + 39 + 0 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (136233907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 980031 + ... + 980169.

Almost surely, 2^136233900 is an apocalyptic number.

136233900 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 136233900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244452670).

136233900 is an abundant number, since it is smaller than the sum of its proper divisors (352671440).

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

136233900 is a wasteful number, since it uses less digits than its factorization.

136233900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 136233900 is about 11671.9278613261. The cubic root of 136233900 is about 514.5509643605.

The spelling of 136233900 in words is "one hundred thirty-six million, two hundred thirty-three thousand, nine hundred".