135046638720 has 1024 divisors, whose sum is σ = 564019200000. Its totient is φ = 29903634432.

The previous prime is 135046638719. The next prime is 135046638731. The reversal of 135046638720 is 27836640531.

135046638720 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 4 + 6 + 638 + 7 + 2 + 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 127 ways as a sum of consecutive naturals, for example, 906353206 + ... + 906353354.

It is an arithmetic number, because the mean of its divisors is an integer number (550800000).

Almost surely, 2^135046638720 is an apocalyptic number.

135046638720 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 135046638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282009600000).

135046638720 is an abundant number, since it is smaller than the sum of its proper divisors (428972561280).

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

135046638720 is a wasteful number, since it uses less digits than its factorization.

135046638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 135046638720 in words is "one hundred thirty-five billion, forty-six million, six hundred thirty-eight thousand, seven hundred twenty".