136826545766400 has 4320 divisors, whose sum is σ = 649157448139200. Its totient is φ = 27885746257920.

The previous prime is 136826545766359. The next prime is 136826545766401. The reversal of 136826545766400 is 4667545628631.

136826545766400 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 2 + 6 + 54 + 576 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (136826545766401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7201397145591 + ... + 7201397145609.

It is an arithmetic number, because the mean of its divisors is an integer number (150267927810).

Almost surely, 2^{136826545766400} is an apocalyptic number.

136826545766400 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 136826545766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324578724069600).

136826545766400 is an abundant number, since it is smaller than the sum of its proper divisors (512330902372800).

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

136826545766400 is an frugal number, since it uses more digits than its factorization.

136826545766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 136826545766400 in words is "one hundred thirty-six trillion, eight hundred twenty-six billion, five hundred forty-five million, seven hundred sixty-six thousand, four hundred".