135533214344520 has 48 divisors (see below), whose sum is σ = 440482946620860. Its totient is φ = 36142190491776.

The previous prime is 135533214344419. The next prime is 135533214344581. The reversal of 135533214344520 is 25443412335531.

135533214344520 is a `hidden beast` number, since 1 + 3 + 5 + 53 + 3 + 2 + 143 + 4 + 452 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130090950570564 + 5442263773956 = 11405742^2 + 2332866^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188240575119 + ... + 188240575838.

Almost surely, 2^{135533214344520} is an apocalyptic number.

135533214344520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135533214344520 is an abundant number, since it is smaller than the sum of its proper divisors (304949732276340).

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

135533214344520 is a wasteful number, since it uses less digits than its factorization.

135533214344520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376481150974 (or 376481150967 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 135533214344520 in words is "one hundred thirty-five trillion, five hundred thirty-three billion, two hundred fourteen million, three hundred forty-four thousand, five hundred twenty".