136399200 has 288 divisors, whose sum is σ = 530966016. Its totient is φ = 29736960.

The previous prime is 136399189. The next prime is 136399201. The reversal of 136399200 is 2993631.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136399201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386224 + ... + 386576.

It is an arithmetic number, because the mean of its divisors is an integer number (1843632).

Almost surely, 2^136399200 is an apocalyptic number.

136399200 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 136399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265483008).

136399200 is an abundant number, since it is smaller than the sum of its proper divisors (394566816).

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

136399200 is a wasteful number, since it uses less digits than its factorization.

136399200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 136399200 is about 11679.0068070877. The cubic root of 136399200 is about 514.7589911361.

The spelling of 136399200 in words is "one hundred thirty-six million, three hundred ninety-nine thousand, two hundred".