135517100544 has 800 divisors, whose sum is σ = 494339788800. Its totient is φ = 36100546560.

The previous prime is 135517100513. The next prime is 135517100549. The reversal of 135517100544 is 445001715531.

135517100544 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 1 + 7 + 100 + 544 = 666.

It is a super-3 number, since 3×135517100544³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 135517100499 and 135517100508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135517100549) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 435746149 + ... + 435746459.

It is an arithmetic number, because the mean of its divisors is an integer number (617924736).

Almost surely, 2^135517100544 is an apocalyptic number.

135517100544 is a gapful number since it is divisible by the number (14) 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 135517100544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247169894400).

135517100544 is an abundant number, since it is smaller than the sum of its proper divisors (358822688256).

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

135517100544 is an equidigital number, since it uses as much as digits as its factorization.

135517100544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 135517100544 in words is "one hundred thirty-five billion, five hundred seventeen million, one hundred thousand, five hundred forty-four".