136084790016 has 864 divisors, whose sum is σ = 509121220608. Its totient is φ = 35354050560.

The previous prime is 136084789987. The next prime is 136084790057. The reversal of 136084790016 is 610097480631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229485016 + ... + 229485608.

It is an arithmetic number, because the mean of its divisors is an integer number (589260672).

Almost surely, 2^136084790016 is an apocalyptic number.

136084790016 is a gapful number since it is divisible by the number (16) 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 136084790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254560610304).

136084790016 is an abundant number, since it is smaller than the sum of its proper divisors (373036430592).

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

136084790016 is an equidigital number, since it uses as much as digits as its factorization.

136084790016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 136084790016 in words is "one hundred thirty-six billion, eighty-four million, seven hundred ninety thousand, sixteen".