135420612552 has 96 divisors (see below), whose sum is σ = 369975340800. Its totient is φ = 44746432128.

The previous prime is 135420612539. The next prime is 135420612557. The reversal of 135420612552 is 255216024531.

135420612552 is a `hidden beast` number, since 1 + 3 + 5 + 42 + 0 + 61 + 2 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135420612557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4550473 + ... + 4580135.

It is an arithmetic number, because the mean of its divisors is an integer number (3853909800).

Almost surely, 2^135420612552 is an apocalyptic number.

135420612552 is a gapful number since it is divisible by the number (12) 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 135420612552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184987670400).

135420612552 is an abundant number, since it is smaller than the sum of its proper divisors (234554728248).

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

135420612552 is a wasteful number, since it uses less digits than its factorization.

135420612552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30227 (or 30220 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 135420612552 in words is "one hundred thirty-five billion, four hundred twenty million, six hundred twelve thousand, five hundred fifty-two".