136648771200 has 384 divisors, whose sum is σ = 511740609600. Its totient is φ = 35591270400.

The previous prime is 136648771163. The next prime is 136648771201. The reversal of 136648771200 is 2177846631.

136648771200 is a `hidden beast` number, since 1 + 366 + 4 + 87 + 7 + 1 + 200 = 666.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (136648771201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3696810 + ... + 3733590.

Almost surely, 2^136648771200 is an apocalyptic number.

136648771200 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 136648771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255870304800).

136648771200 is an abundant number, since it is smaller than the sum of its proper divisors (375091838400).

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

136648771200 is a wasteful number, since it uses less digits than its factorization.

136648771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36857 (or 36834 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 136648771200 in words is "one hundred thirty-six billion, six hundred forty-eight million, seven hundred seventy-one thousand, two hundred".