136508112000 has 1024 divisors, whose sum is σ = 548900352000. Its totient is φ = 33144422400.

The previous prime is 136508111953. The next prime is 136508112019. The reversal of 136508112000 is 211805631.

136508112000 is a `hidden beast` number, since 1 + 3 + 650 + 8 + 1 + 1 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 612143889 + ... + 612144111.

It is an arithmetic number, because the mean of its divisors is an integer number (536035500).

Almost surely, 2^136508112000 is an apocalyptic number.

136508112000 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 136508112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274450176000).

136508112000 is an abundant number, since it is smaller than the sum of its proper divisors (412392240000).

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

136508112000 is a wasteful number, since it uses less digits than its factorization.

136508112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 136508112000 its reverse (211805631), we get a palindrome (136719917631).

The spelling of 136508112000 in words is "one hundred thirty-six billion, five hundred eight million, one hundred twelve thousand".