135257777444640 has 96 divisors (see below), whose sum is σ = 426520624682880. Its totient is φ = 36029915193344.

The previous prime is 135257777444563. The next prime is 135257777444641. The reversal of 135257777444640 is 46444777752531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×135257777444640⁴ (a number of 58 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (135257777444641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151215564 + ... + 152107403.

It is an arithmetic number, because the mean of its divisors is an integer number (4442923173780).

Almost surely, 2^{135257777444640} is an apocalyptic number.

135257777444640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135257777444640 is an abundant number, since it is smaller than the sum of its proper divisors (291262847238240).

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

135257777444640 is a wasteful number, since it uses less digits than its factorization.

135257777444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303323914 (or 303323906 counting only the distinct ones).

The product of its (nonzero) digits is 553190400, while the sum is 66.

The spelling of 135257777444640 in words is "one hundred thirty-five trillion, two hundred fifty-seven billion, seven hundred seventy-seven million, four hundred forty-four thousand, six hundred forty".