135627948729 has 243 divisors, whose sum is σ = 264161830959. Its totient is φ = 66820178880.

The previous prime is 135627948721. The next prime is 135627948737. The reversal of 135627948729 is 927849726531.

The square root of 135627948729 is 368277.

It is a perfect power (a square), and thus also a powerful number.

135627948729 is a `hidden beast` number, since 1 + 3 + 5 + 62 + 79 + 487 + 29 = 666.

It is an interprime number because it is at equal distance from previous prime (135627948721) and next prime (135627948737).

It can be written as a sum of positive squares in only one way, i.e., 20063306025 + 115564642704 = 141645^2 + 339948^2 .

It is not a de Polignac number, because 135627948729 - 2³ = 135627948721 is a prime.

It is a super-3 number, since 3×135627948729³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (135627948721) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1910252764 + ... + 1910252834.

Almost surely, 2^135627948729 is an apocalyptic number.

135627948729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

135627948729 is the 368277-th square number.

135627948729 is the 184139-th centered octagonal number.

It is an amenable number.

135627948729 is a deficient number, since it is larger than the sum of its proper divisors (128533882230).

135627948729 is a wasteful number, since it uses less digits than its factorization.

135627948729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 135627948729 in words is "one hundred thirty-five billion, six hundred twenty-seven million, nine hundred forty-eight thousand, seven hundred twenty-nine".