135005430120 has 256 divisors, whose sum is σ = 453794918400. Its totient is φ = 31850664960.

The previous prime is 135005430103. The next prime is 135005430121. The reversal of 135005430120 is 21034500531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (135005430121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11099082 + ... + 11111238.

It is an arithmetic number, because the mean of its divisors is an integer number (1772636400).

Almost surely, 2^135005430120 is an apocalyptic number.

135005430120 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 135005430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226897459200).

135005430120 is an abundant number, since it is smaller than the sum of its proper divisors (318789488280).

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

135005430120 is a wasteful number, since it uses less digits than its factorization.

135005430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12408 (or 12404 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 135005430120 its reverse (21034500531), we get a palindrome (156039930651).

The spelling of 135005430120 in words is "one hundred thirty-five billion, five million, four hundred thirty thousand, one hundred twenty".