135827628304 has 45 divisors (see below), whose sum is σ = 265067615223. Its totient is φ = 67426593696.

The previous prime is 135827628301. The next prime is 135827628331. The reversal of 135827628304 is 403826728531.

The square root of 135827628304 is 368548.

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

It is a super-2 number, since 2×135827628304² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135827628301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 293363977 + ... + 293364439.

Almost surely, 2^135827628304 is an apocalyptic number.

135827628304 is the 368548-th square number.

It is an amenable number.

135827628304 is a deficient number, since it is larger than the sum of its proper divisors (129239986919).

135827628304 is an frugal number, since it uses more digits than its factorization.

135827628304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 135827628304 by its sum of digits (49), we get a square (6655553786896 = 2579836²).

The spelling of 135827628304 in words is "one hundred thirty-five billion, eight hundred twenty-seven million, six hundred twenty-eight thousand, three hundred four".