135935771472 has 120 divisors (see below), whose sum is σ = 405523747200. Its totient is φ = 42383637504.

The previous prime is 135935771429. The next prime is 135935771507. The reversal of 135935771472 is 274177539531.

135935771472 is a `hidden beast` number, since 1 + 3 + 59 + 3 + 57 + 71 + 472 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98313 + ... + 530600.

It is an arithmetic number, because the mean of its divisors is an integer number (3379364560).

Almost surely, 2^135935771472 is an apocalyptic number.

135935771472 is a gapful number since it is divisible by the number (12) 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 135935771472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202761873600).

135935771472 is an abundant number, since it is smaller than the sum of its proper divisors (269587975728).

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

135935771472 is a wasteful number, since it uses less digits than its factorization.

135935771472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629025 (or 629016 counting only the distinct ones).

The product of its digits is 5556600, while the sum is 54.

The spelling of 135935771472 in words is "one hundred thirty-five billion, nine hundred thirty-five million, seven hundred seventy-one thousand, four hundred seventy-two".