135553620762432 has 84 divisors (see below), whose sum is σ = 389973706264896. Its totient is φ = 45017807581440.

The previous prime is 135553620762389. The next prime is 135553620762449. The reversal of 135553620762432 is 234267026355531.

135553620762432 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 5 + 3 + 6 + 2 + 0 + 7 + 624 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434043438 + ... + 434355629.

Almost surely, 2^{135553620762432} is an apocalyptic number.

135553620762432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135553620762432 is an abundant number, since it is smaller than the sum of its proper divisors (254420085502464).

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

135553620762432 is a wasteful number, since it uses less digits than its factorization.

135553620762432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868399356 (or 868399343 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 135553620762432 in words is "one hundred thirty-five trillion, five hundred fifty-three billion, six hundred twenty million, seven hundred sixty-two thousand, four hundred thirty-two".