135967104 has 192 divisors, whose sum is σ = 481921440. Its totient is φ = 35831808.

The previous prime is 135967103. The next prime is 135967121. The reversal of 135967104 is 401769531.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135967103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104184 + ... + 105480.

Almost surely, 2^135967104 is an apocalyptic number.

135967104 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 135967104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240960720).

135967104 is an abundant number, since it is smaller than the sum of its proper divisors (345954336).

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

135967104 is a wasteful number, since it uses less digits than its factorization.

135967104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 135967104 is about 11660.4933000281. The cubic root of 135967104 is about 514.2148516120.

The spelling of 135967104 in words is "one hundred thirty-five million, nine hundred sixty-seven thousand, one hundred four".