135384814040 has 32 divisors (see below), whose sum is σ = 348132379680. Its totient is φ = 46417650432.

The previous prime is 135384814007. The next prime is 135384814043. The reversal of 135384814040 is 40418483531.

It is a super-2 number, since 2×135384814040² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135384814043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241758317 + ... + 241758876.

It is an arithmetic number, because the mean of its divisors is an integer number (10879136865).

Almost surely, 2^135384814040 is an apocalyptic number.

135384814040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135384814040 is an abundant number, since it is smaller than the sum of its proper divisors (212747565640).

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

135384814040 is a wasteful number, since it uses less digits than its factorization.

135384814040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483517211 (or 483517207 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 135384814040 in words is "one hundred thirty-five billion, three hundred eighty-four million, eight hundred fourteen thousand, forty".