135727372638 has 96 divisors (see below), whose sum is σ = 346096662912. Its totient is φ = 37898798400.

The previous prime is 135727372631. The next prime is 135727372769. The reversal of 135727372638 is 836273727531.

135727372638 is a `hidden beast` number, since 1 + 3 + 572 + 7 + 3 + 7 + 2 + 63 + 8 = 666.

It is a super-2 number, since 2×135727372638² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135727372631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1423581 + ... + 1515927.

It is an arithmetic number, because the mean of its divisors is an integer number (3605173572).

Almost surely, 2^135727372638 is an apocalyptic number.

135727372638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135727372638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173048331456).

135727372638 is an abundant number, since it is smaller than the sum of its proper divisors (210369290274).

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

135727372638 is a wasteful number, since it uses less digits than its factorization.

135727372638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92950 (or 92947 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 135727372638 in words is "one hundred thirty-five billion, seven hundred twenty-seven million, three hundred seventy-two thousand, six hundred thirty-eight".