135099135420480 has 896 divisors, whose sum is σ = 598738539294720. Its totient is φ = 27858235392000.

The previous prime is 135099135420479. The next prime is 135099135420481. The reversal of 135099135420480 is 84024531990531.

135099135420480 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 9 + 9 + 1 + 354 + 204 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (135099135420479) and next prime (135099135420481).

It is a super-2 number, since 2×135099135420480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135099135420481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86376600 + ... + 87926760.

Almost surely, 2^{135099135420480} is an apocalyptic number.

135099135420480 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 135099135420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299369269647360).

135099135420480 is an abundant number, since it is smaller than the sum of its proper divisors (463639403874240).

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

135099135420480 is a wasteful number, since it uses less digits than its factorization.

135099135420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550336 (or 1550320 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 135099135420480 in words is "one hundred thirty-five trillion, ninety-nine billion, one hundred thirty-five million, four hundred twenty thousand, four hundred eighty".