135114613154550 has 192 divisors, whose sum is σ = 372850523539200. Its totient is φ = 35978836665600.

The previous prime is 135114613154527. The next prime is 135114613154557. The reversal of 135114613154550 is 55451316411531.

135114613154550 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 1 + 4 + 61 + 31 + 5 + 4 + 550 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 135114613154496 and 135114613154505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135114613154557) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7613368777 + ... + 7613386523.

It is an arithmetic number, because the mean of its divisors is an integer number (1941929810100).

Almost surely, 2^{135114613154550} is an apocalyptic number.

135114613154550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135114613154550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186425261769600).

135114613154550 is an abundant number, since it is smaller than the sum of its proper divisors (237735910384650).

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

135114613154550 is a wasteful number, since it uses less digits than its factorization.

135114613154550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25548 (or 25537 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 135114613154550 in words is "one hundred thirty-five trillion, one hundred fourteen billion, six hundred thirteen million, one hundred fifty-four thousand, five hundred fifty".