135530964 has 72 divisors (see below), whose sum is σ = 351685152. Its totient is φ = 43992000.

The previous prime is 135530951. The next prime is 135530981. The reversal of 135530964 is 469035531.

135530964 is a `hidden beast` number, since 1 + 35 + 530 + 96 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478767 + ... + 479049.

It is an arithmetic number, because the mean of its divisors is an integer number (4884516).

Almost surely, 2^135530964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135530964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175842576).

135530964 is an abundant number, since it is smaller than the sum of its proper divisors (216154188).

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

135530964 is a wasteful number, since it uses less digits than its factorization.

135530964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 135530964 is about 11641.7766685330. The cubic root of 135530964 is about 513.6644491429.

The spelling of 135530964 in words is "one hundred thirty-five million, five hundred thirty thousand, nine hundred sixty-four".