136393420800 has 1872 divisors, whose sum is σ = 612749968992. Its totient is φ = 26424115200.

The previous prime is 136393420789. The next prime is 136393420829. The reversal of 136393420800 is 8024393631.

It is a super-3 number, since 3×136393420800³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3326668780 + ... + 3326668820.

Almost surely, 2^136393420800 is an apocalyptic number.

136393420800 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 136393420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306374984496).

136393420800 is an abundant number, since it is smaller than the sum of its proper divisors (476356548192).

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

136393420800 is a wasteful number, since it uses less digits than its factorization.

136393420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 136393420800 in words is "one hundred thirty-six billion, three hundred ninety-three million, four hundred twenty thousand, eight hundred".