135535045201920 has 6656 divisors, whose sum is σ = 684829458432000. Its totient is φ = 24583486832640.

The previous prime is 135535045201909. The next prime is 135535045202017. The reversal of 135535045201920 is 29102540535531.

135535045201920 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 3 + 5 + 0 + 452 + 0 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6656).

It is a super-2 number, since 2×135535045201920² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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 511 ways as a sum of consecutive naturals, for example, 503847751546 + ... + 503847751814.

Almost surely, 2^{135535045201920} is an apocalyptic number.

135535045201920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135535045201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342414729216000).

135535045201920 is an abundant number, since it is smaller than the sum of its proper divisors (549294413230080).

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

135535045201920 is a wasteful number, since it uses less digits than its factorization.

135535045201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 135535045201920 in words is "one hundred thirty-five trillion, five hundred thirty-five billion, forty-five million, two hundred one thousand, nine hundred twenty".