135655156 has 96 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 50803200.

The previous prime is 135655151. The next prime is 135655171. The reversal of 135655156 is 651556531.

135655156 = 134² + 135² + ... + 742².

135655156 is a nontrivial binomial coefficient, being equal to C(16472, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135655151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749386 + ... + 749566.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^135655156 is an apocalyptic number.

135655156 is the 16471-st triangular number and also the 8236-th hexagonal number.

135655156 is the 5491-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135655156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

135655156 is an abundant number, since it is smaller than the sum of its proper divisors (172550924).

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

135655156 is a wasteful number, since it uses less digits than its factorization.

135655156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its digits is 67500, while the sum is 37.

The square root of 135655156 is about 11647.1093409481. The cubic root of 135655156 is about 513.8212977773.

It can be divided in two parts, 13565 and 5156, that added together give a triangular number (18721 = T₁₉₃).

The spelling of 135655156 in words is "one hundred thirty-five million, six hundred fifty-five thousand, one hundred fifty-six".