135529691616 has 864 divisors, whose sum is σ = 479251987200. Its totient is φ = 37122624000.

The previous prime is 135529691593. The next prime is 135529691639. The reversal of 135529691616 is 616196925531.

135529691616 is a `hidden beast` number, since 1 + 3 + 552 + 9 + 69 + 16 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (135529691593) and next prime (135529691639).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1908868861 + ... + 1908868931.

It is an arithmetic number, because the mean of its divisors is an integer number (554689800).

Almost surely, 2^135529691616 is an apocalyptic number.

135529691616 is a gapful number since it is divisible by the number (16) 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 135529691616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239625993600).

135529691616 is an abundant number, since it is smaller than the sum of its proper divisors (343722295584).

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

135529691616 is a wasteful number, since it uses less digits than its factorization.

135529691616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 137 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The spelling of 135529691616 in words is "one hundred thirty-five billion, five hundred twenty-nine million, six hundred ninety-one thousand, six hundred sixteen".