135830202549120 has 512 divisors, whose sum is σ = 481858346880000. Its totient is φ = 36161736450048.

The previous prime is 135830202549089. The next prime is 135830202549127. The reversal of 135830202549120 is 21945202038531.

135830202549120 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 302 + 0 + 254 + 91 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135830202549127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37491083629 + ... + 37491087251.

It is an arithmetic number, because the mean of its divisors is an integer number (941129583750).

Almost surely, 2^{135830202549120} is an apocalyptic number.

135830202549120 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 135830202549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240929173440000).

135830202549120 is an abundant number, since it is smaller than the sum of its proper divisors (346028144330880).

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

135830202549120 is a wasteful number, since it uses less digits than its factorization.

135830202549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 135830202549120 in words is "one hundred thirty-five trillion, eight hundred thirty billion, two hundred two million, five hundred forty-nine thousand, one hundred twenty".