136884889732800 has 2688 divisors, whose sum is σ = 528123637923840. Its totient is φ = 30739090636800.

The previous prime is 136884889732751. The next prime is 136884889732813. The reversal of 136884889732800 is 8237988488631.

136884889732800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 819669998317 + ... + 819669998483.

It is an arithmetic number, because the mean of its divisors is an integer number (196474567680).

Almost surely, 2^{136884889732800} is an apocalyptic number.

136884889732800 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 136884889732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264061818961920).

136884889732800 is an abundant number, since it is smaller than the sum of its proper divisors (391238748191040).

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

136884889732800 is a wasteful number, since it uses less digits than its factorization.

136884889732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 75.

The spelling of 136884889732800 in words is "one hundred thirty-six trillion, eight hundred eighty-four billion, eight hundred eighty-nine million, seven hundred thirty-two thousand, eight hundred".