135668954400 has 144 divisors (see below), whose sum is σ = 504688572864. Its totient is φ = 31010042880.

The previous prime is 135668954381. The next prime is 135668954401. The reversal of 135668954400 is 4459866531.

It is not an unprimeable number, because it can be changed into a prime (135668954401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4020967 + ... + 4054566.

It is an arithmetic number, because the mean of its divisors is an integer number (3504781756).

Almost surely, 2^135668954400 is an apocalyptic number.

135668954400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135668954400 is an abundant number, since it is smaller than the sum of its proper divisors (369019618464).

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

135668954400 is a wasteful number, since it uses less digits than its factorization.

135668954400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8075563 (or 8075550 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 135668954400 in words is "one hundred thirty-five billion, six hundred sixty-eight million, nine hundred fifty-four thousand, four hundred".