135856512 has 192 divisors, whose sum is σ = 435352320. Its totient is φ = 40320000.

The previous prime is 135856507. The next prime is 135856529. The reversal of 135856512 is 215658531.

It is a happy number.

135856512 is a `hidden beast` number, since 1 + 3 + 585 + 65 + 12 = 666.

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

It is a super-2 number, since 2×135856512² = 36913983705612288, which contains 22 as substring.

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, 899637 + ... + 899787.

It is an arithmetic number, because the mean of its divisors is an integer number (2267460).

Almost surely, 2^135856512 is an apocalyptic number.

135856512 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 135856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217676160).

135856512 is an abundant number, since it is smaller than the sum of its proper divisors (299495808).

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

135856512 is a wasteful number, since it uses less digits than its factorization.

135856512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 135856512 is about 11655.7501689080. The cubic root of 135856512 is about 514.0753976008.

The spelling of 135856512 in words is "one hundred thirty-five million, eight hundred fifty-six thousand, five hundred twelve".