136414269600 has 1152 divisors, whose sum is σ = 590722191360. Its totient is φ = 26568622080.

The previous prime is 136414269571. The next prime is 136414269647. The reversal of 136414269600 is 6962414631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124806654 + ... + 124807746.

It is an arithmetic number, because the mean of its divisors is an integer number (512779680).

Almost surely, 2^136414269600 is an apocalyptic number.

136414269600 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 136414269600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295361095680).

136414269600 is an abundant number, since it is smaller than the sum of its proper divisors (454307921760).

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

136414269600 is a wasteful number, since it uses less digits than its factorization.

136414269600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 136414269600 in words is "one hundred thirty-six billion, four hundred fourteen million, two hundred sixty-nine thousand, six hundred".