136093996800 has 324 divisors, whose sum is σ = 504593511240. Its totient is φ = 36291317760.

The previous prime is 136093996793. The next prime is 136093996807. The reversal of 136093996800 is 8699390631.

It is an interprime number because it is at equal distance from previous prime (136093996793) and next prime (136093996807).

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136093996807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1511446 + ... + 1598954.

Almost surely, 2^136093996800 is an apocalyptic number.

136093996800 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 136093996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252296755620).

136093996800 is an abundant number, since it is smaller than the sum of its proper divisors (368499514440).

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

136093996800 is an frugal number, since it uses more digits than its factorization.

136093996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87550 (or 87519 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 136093996800 in words is "one hundred thirty-six billion, ninety-three million, nine hundred ninety-six thousand, eight hundred".