135366956352 has 336 divisors, whose sum is σ = 411210264192. Its totient is φ = 44140308480.

The previous prime is 135366956327. The next prime is 135366956377. The reversal of 135366956352 is 253659663531.

135366956352 is a `hidden beast` number, since 1 + 3 + 536 + 6 + 9 + 56 + 3 + 52 = 666.

135366956352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135366956327) and next prime (135366956377).

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 47 ways as a sum of consecutive naturals, for example, 277960653 + ... + 277961139.

It is an arithmetic number, because the mean of its divisors is an integer number (1223840072).

Almost surely, 2^135366956352 is an apocalyptic number.

135366956352 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 135366956352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205605132096).

135366956352 is an abundant number, since it is smaller than the sum of its proper divisors (275843307840).

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

135366956352 is an equidigital number, since it uses as much as digits as its factorization.

135366956352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 846 counting only the distinct ones).

The product of its digits is 13122000, while the sum is 54.

The spelling of 135366956352 in words is "one hundred thirty-five billion, three hundred sixty-six million, nine hundred fifty-six thousand, three hundred fifty-two".