135495702720 has 448 divisors, whose sum is σ = 563914137600. Its totient is φ = 29970984960.

The previous prime is 135495702673. The next prime is 135495702737. The reversal of 135495702720 is 27207594531.

It is a happy number.

135495702720 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 9 + 570 + 2 + 72 + 0 = 666.

135495702720 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 1838746 + ... + 1911014.

Almost surely, 2^135495702720 is an apocalyptic number.

135495702720 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 135495702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281957068800).

135495702720 is an abundant number, since it is smaller than the sum of its proper divisors (428418434880).

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

135495702720 is a wasteful number, since it uses less digits than its factorization.

135495702720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72333 (or 72317 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 135495702720 in words is "one hundred thirty-five billion, four hundred ninety-five million, seven hundred two thousand, seven hundred twenty".