136930416000 has 1024 divisors, whose sum is σ = 554501376000. Its totient is φ = 29196288000.

The previous prime is 136930415971. The next prime is 136930416013. The reversal of 136930416000 is 614039631.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 568175880 + ... + 568176120.

It is an arithmetic number, because the mean of its divisors is an integer number (541505250).

Almost surely, 2^136930416000 is an apocalyptic number.

136930416000 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 136930416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277250688000).

136930416000 is an abundant number, since it is smaller than the sum of its proper divisors (417570960000).

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

136930416000 is a wasteful number, since it uses less digits than its factorization.

136930416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 136930416000 in words is "one hundred thirty-six billion, nine hundred thirty million, four hundred sixteen thousand".