136993403289600 has 4320 divisors, whose sum is σ = 608247657658368. Its totient is φ = 29019340800000.

The previous prime is 136993403289581. The next prime is 136993403289629. The reversal of 136993403289600 is 6982304399631.

136993403289600 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 9 + 340 + 3 + 289 + 6 + 0 + 0 = 666.

It is a super-4 number, since 4×136993403289600⁴ (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1356370329550 + ... + 1356370329650.

Almost surely, 2^{136993403289600} is an apocalyptic number.

136993403289600 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 136993403289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304123828829184).

136993403289600 is an abundant number, since it is smaller than the sum of its proper divisors (471254254368768).

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

136993403289600 is a wasteful number, since it uses less digits than its factorization.

136993403289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 136993403289600 in words is "one hundred thirty-six trillion, nine hundred ninety-three billion, four hundred three million, two hundred eighty-nine thousand, six hundred".