135648608506400 has 144 divisors (see below), whose sum is σ = 361263020999328. Its totient is φ = 49325932032000.

The previous prime is 135648608506337. The next prime is 135648608506529. The reversal of 135648608506400 is 4605806846531.

It is a super-4 number, since 4×135648608506400⁴ (a number of 58 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796147619 + ... + 796317981.

It is an arithmetic number, because the mean of its divisors is an integer number (2508770979162).

Almost surely, 2^{135648608506400} is an apocalyptic number.

135648608506400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135648608506400 is an abundant number, since it is smaller than the sum of its proper divisors (225614412492928).

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

135648608506400 is a wasteful number, since it uses less digits than its factorization.

135648608506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260875 (or 260862 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 56.

The spelling of 135648608506400 in words is "one hundred thirty-five trillion, six hundred forty-eight billion, six hundred eight million, five hundred six thousand, four hundred".