135179412480 has 1584 divisors, whose sum is σ = 602847722880. Its totient is φ = 27794866176.

The previous prime is 135179412469. The next prime is 135179412547. The reversal of 135179412480 is 84214971531.

135179412480 is a `hidden beast` number, since 1 + 3 + 517 + 9 + 4 + 124 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 986710972 + ... + 986711108.

Almost surely, 2^135179412480 is an apocalyptic number.

135179412480 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 135179412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301423861440).

135179412480 is an abundant number, since it is smaller than the sum of its proper divisors (467668310400).

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

135179412480 is a wasteful number, since it uses less digits than its factorization.

135179412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 135179412480 in words is "one hundred thirty-five billion, one hundred seventy-nine million, four hundred twelve thousand, four hundred eighty".