135834262249 has 27 divisors (see below), whose sum is σ = 162511484247. Its totient is φ = 113203019664.

The previous prime is 135834262217. The next prime is 135834262259. The reversal of 135834262249 is 942262438531.

The square root of 135834262249 is 368557.

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

It can be written as a sum of positive squares in only one way, i.e., 121546363225 + 14287899024 = 348635^2 + 119532^2 .

It is not a de Polignac number, because 135834262249 - 2⁵ = 135834262217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (135834262259) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95455552 + ... + 95456974.

It is an arithmetic number, because the mean of its divisors is an integer number (6018943861).

Almost surely, 2^135834262249 is an apocalyptic number.

135834262249 is the 368557-th square number.

135834262249 is the 184279-th centered octagonal number.

It is an amenable number.

135834262249 is a deficient number, since it is larger than the sum of its proper divisors (26677221998).

135834262249 is an frugal number, since it uses more digits than its factorization.

135834262249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 1467 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 49.

Multiplying 135834262249 by its sum of digits (49), we get a square (6655878850201 = 2579899²).

135834262249 divided by its sum of digits (49) gives a square (2772127801 = 52651²).

The spelling of 135834262249 in words is "one hundred thirty-five billion, eight hundred thirty-four million, two hundred sixty-two thousand, two hundred forty-nine".