135503315542530 has 256 divisors, whose sum is σ = 391921795399680. Its totient is φ = 33116442796800.

The previous prime is 135503315542501. The next prime is 135503315542549. The reversal of 135503315542530 is 35245513305531.

135503315542530 is a `hidden beast` number, since 1 + 3 + 5 + 50 + 3 + 3 + 1 + 5 + 542 + 53 + 0 = 666.

It is a super-2 number, since 2×135503315542530² (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 566861335 + ... + 567100325.

It is an arithmetic number, because the mean of its divisors is an integer number (1530944513280).

Almost surely, 2^{135503315542530} is an apocalyptic number.

135503315542530 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 135503315542530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195960897699840).

135503315542530 is an abundant number, since it is smaller than the sum of its proper divisors (256418479857150).

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

135503315542530 is a wasteful number, since it uses less digits than its factorization.

135503315542530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240174 (or 240168 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 45.

The spelling of 135503315542530 in words is "one hundred thirty-five trillion, five hundred three billion, three hundred fifteen million, five hundred forty-two thousand, five hundred thirty".