135578646240 has 48 divisors (see below), whose sum is σ = 427072737168. Its totient is φ = 36154305536.

The previous prime is 135578646233. The next prime is 135578646283. The reversal of 135578646240 is 42646875531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×135578646240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141227277 + ... + 141228236.

It is an arithmetic number, because the mean of its divisors is an integer number (8897348691).

Almost surely, 2^135578646240 is an apocalyptic number.

135578646240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135578646240 is an abundant number, since it is smaller than the sum of its proper divisors (291494090928).

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

135578646240 is a wasteful number, since it uses less digits than its factorization.

135578646240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282455531 (or 282455523 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 135578646240 in words is "one hundred thirty-five billion, five hundred seventy-eight million, six hundred forty-six thousand, two hundred forty".