136742004802800 has 1440 divisors, whose sum is σ = 526877583232000. Its totient is φ = 33957804441600.

The previous prime is 136742004802757. The next prime is 136742004802841. The reversal of 136742004802800 is 8208400247631.

It is a happy number.

136742004802800 is a `hidden beast` number, since 1 + 3 + 6 + 74 + 20 + 0 + 480 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35161223256 + ... + 35161227144.

Almost surely, 2^{136742004802800} is an apocalyptic number.

136742004802800 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 136742004802800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263438791616000).

136742004802800 is an abundant number, since it is smaller than the sum of its proper divisors (390135578429200).

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

136742004802800 is a wasteful number, since it uses less digits than its factorization.

136742004802800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 136742004802800 in words is "one hundred thirty-six trillion, seven hundred forty-two billion, four million, eight hundred two thousand, eight hundred".