136400505154848 has 288 divisors, whose sum is σ = 426302735564160. Its totient is φ = 41026244014080.

The previous prime is 136400505154847. The next prime is 136400505154867. The reversal of 136400505154848 is 848451505004631.

136400505154848 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 0 + 0 + 5 + 0 + 51 + 548 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 136400505154794 and 136400505154803.

It is not an unprimeable number, because it can be changed into a prime (136400505154847) 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, 465894973 + ... + 466187651.

It is an arithmetic number, because the mean of its divisors is an integer number (1480217831820).

Almost surely, 2^{136400505154848} is an apocalyptic number.

136400505154848 is a gapful number since it is divisible by the number (18) 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 136400505154848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213151367782080).

136400505154848 is an abundant number, since it is smaller than the sum of its proper divisors (289902230409312).

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

136400505154848 is a wasteful number, since it uses less digits than its factorization.

136400505154848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293800 (or 293789 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 136400505154848 in words is "one hundred thirty-six trillion, four hundred billion, five hundred five million, one hundred fifty-four thousand, eight hundred forty-eight".