135407028579504 has 80 divisors (see below), whose sum is σ = 381620433074304. Its totient is φ = 41030410636800.

The previous prime is 135407028579503. The next prime is 135407028579521. The reversal of 135407028579504 is 405975820704531.

It is a super-2 number, since 2×135407028579504² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135407028579503) 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, 4421124 + ... + 17039964.

Almost surely, 2^{135407028579504} is an apocalyptic number.

It is an amenable number.

135407028579504 is an abundant number, since it is smaller than the sum of its proper divisors (246213404494800).

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

135407028579504 is a wasteful number, since it uses less digits than its factorization.

135407028579504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12639186 (or 12639180 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 60.

The spelling of 135407028579504 in words is "one hundred thirty-five trillion, four hundred seven billion, twenty-eight million, five hundred seventy-nine thousand, five hundred four".