135772084 has 48 divisors (see below), whose sum is σ = 282401280. Its totient is φ = 55883520.

The previous prime is 135772057. The next prime is 135772097. The reversal of 135772084 is 480277531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219744 + ... + 220360.

It is an arithmetic number, because the mean of its divisors is an integer number (5883360).

Almost surely, 2^135772084 is an apocalyptic number.

135772084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135772084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141200640).

135772084 is an abundant number, since it is smaller than the sum of its proper divisors (146629196).

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

135772084 is a wasteful number, since it uses less digits than its factorization.

135772084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 135772084 is about 11652.1278743412. The cubic root of 135772084 is about 513.9688848521.

It can be divided in two parts, 1357 and 72084, that added together give a square (73441 = 271²).

The spelling of 135772084 in words is "one hundred thirty-five million, seven hundred seventy-two thousand, eighty-four".