136627968000 has 384 divisors, whose sum is σ = 461003175360. Its totient is φ = 35920281600.

The previous prime is 136627967963. The next prime is 136627968007. The reversal of 136627968000 is 869726631.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136627968007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56062782 + ... + 56065218.

Almost surely, 2^136627968000 is an apocalyptic number.

136627968000 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 136627968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230501587680).

136627968000 is an abundant number, since it is smaller than the sum of its proper divisors (324375207360).

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

136627968000 is an equidigital number, since it uses as much as digits as its factorization.

136627968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 136627968000 in words is "one hundred thirty-six billion, six hundred twenty-seven million, nine hundred sixty-eight thousand".