136018540800 has 648 divisors, whose sum is σ = 513969228864. Its totient is φ = 34248867840.

The previous prime is 136018540781. The next prime is 136018540841. The reversal of 136018540800 is 8045810631.

136018540800 is a `hidden beast` number, since 1 + 3 + 601 + 8 + 5 + 40 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×136018540800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109957782 + ... + 109959018.

Almost surely, 2^136018540800 is an apocalyptic number.

136018540800 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 136018540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256984614432).

136018540800 is an abundant number, since it is smaller than the sum of its proper divisors (377950688064).

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

136018540800 is a wasteful number, since it uses less digits than its factorization.

136018540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 136018540800 in words is "one hundred thirty-six billion, eighteen million, five hundred forty thousand, eight hundred".