135971712 has 192 divisors, whose sum is σ = 425327760. Its totient is φ = 41533440.

The previous prime is 135971711. The next prime is 135971713. The reversal of 135971712 is 217179531.

It is an interprime number because it is at equal distance from previous prime (135971711) and next prime (135971713).

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 (135971711) 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, 1037887 + ... + 1038017.

Almost surely, 2^135971712 is an apocalyptic number.

135971712 is a gapful number since it is divisible by the number (12) 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 135971712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212663880).

135971712 is an abundant number, since it is smaller than the sum of its proper divisors (289356048).

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

135971712 is a wasteful number, since it uses less digits than its factorization.

135971712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 135971712 is about 11660.6908886223. The cubic root of 135971712 is about 514.2206605546.

The spelling of 135971712 in words is "one hundred thirty-five million, nine hundred seventy-one thousand, seven hundred twelve".