135089216640 has 256 divisors, whose sum is σ = 546790176000. Its totient is φ = 30877507584.

The previous prime is 135089216629. The next prime is 135089216641. The reversal of 135089216640 is 46612980531.

135089216640 is a `hidden beast` number, since 1 + 3 + 508 + 92 + 16 + 6 + 40 = 666.

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 (135089216641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437445 + ... + 679364.

It is an arithmetic number, because the mean of its divisors is an integer number (2135899125).

Almost surely, 2^135089216640 is an apocalyptic number.

135089216640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135089216640 is an abundant number, since it is smaller than the sum of its proper divisors (411700959360).

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

135089216640 is a wasteful number, since it uses less digits than its factorization.

135089216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116844 (or 1116826 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 135089216640 in words is "one hundred thirty-five billion, eighty-nine million, two hundred sixteen thousand, six hundred forty".