136416000000 has 1008 divisors, whose sum is σ = 547059403800. Its totient is φ = 30105600000.

The previous prime is 136415999989. The next prime is 136416000037. The reversal of 136416000000 is 614631.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4703999986 + ... + 4704000014.

Almost surely, 2^136416000000 is an apocalyptic number.

136416000000 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 136416000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273529701900).

136416000000 is an abundant number, since it is smaller than the sum of its proper divisors (410643403800).

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

136416000000 is an frugal number, since it uses more digits than its factorization.

136416000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 136416000000 its reverse (614631), we get a palindrome (136416614631).

The spelling of 136416000000 in words is "one hundred thirty-six billion, four hundred sixteen million", and thus it is an aban number.