135764407272 has 48 divisors (see below), whose sum is σ = 367527918240. Its totient is φ = 41773662528.

The previous prime is 135764407249. The next prime is 135764407277. The reversal of 135764407272 is 272704467531.

It is not an unprimeable number, because it can be changed into a prime (135764407277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16732188 + ... + 16740299.

It is an arithmetic number, because the mean of its divisors is an integer number (7656831630).

Almost surely, 2^135764407272 is an apocalyptic number.

135764407272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135764407272 is an abundant number, since it is smaller than the sum of its proper divisors (231763510968).

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

135764407272 is a wasteful number, since it uses less digits than its factorization.

135764407272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33472522 (or 33472505 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 135764407272 in words is "one hundred thirty-five billion, seven hundred sixty-four million, four hundred seven thousand, two hundred seventy-two".