135501696 has 288 divisors, whose sum is σ = 464073480. Its totient is φ = 37601280.

The previous prime is 135501689. The next prime is 135501719. The reversal of 135501696 is 696105531.

135501696 is a `hidden beast` number, since 1 + 3 + 550 + 16 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 135501696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3662190 + ... + 3662226.

Almost surely, 2^135501696 is an apocalyptic number.

135501696 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 135501696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232036740).

135501696 is an abundant number, since it is smaller than the sum of its proper divisors (328571784).

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

135501696 is a wasteful number, since it uses less digits than its factorization.

135501696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 135501696 is about 11640.5195760327. The cubic root of 135501696 is about 513.6274710901.

The spelling of 135501696 in words is "one hundred thirty-five million, five hundred one thousand, six hundred ninety-six".