135338254553088 has 156 divisors (see below), whose sum is σ = 392415905001120. Its totient is φ = 44941216923648.

The previous prime is 135338254553083. The next prime is 135338254553123. The reversal of 135338254553088 is 880355452833531.

135338254553088 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 3 + 8 + 2 + 545 + 5 + 3 + 0 + 88 = 666.

It is a super-2 number, since 2×135338254553088² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135338254553081) by changing a digit.

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, 2715603 + ... + 16674861.

It is an arithmetic number, because the mean of its divisors is an integer number (2515486570520).

Almost surely, 2^{135338254553088} is an apocalyptic number.

135338254553088 is a gapful number since it is divisible by the number (18) 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 135338254553088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196207952500560).

135338254553088 is an abundant number, since it is smaller than the sum of its proper divisors (257077650448032).

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

135338254553088 is a wasteful number, since it uses less digits than its factorization.

135338254553088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13959552 (or 13959527 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 135338254553088 in words is "one hundred thirty-five trillion, three hundred thirty-eight billion, two hundred fifty-four million, five hundred fifty-three thousand, eighty-eight".