135832878720 has 1792 divisors, whose sum is σ = 642159360000. Its totient is φ = 26605117440.

The previous prime is 135832878719. The next prime is 135832878721. The reversal of 135832878720 is 27878238531.

135832878720 is a `hidden beast` number, since 1 + 358 + 3 + 287 + 8 + 7 + 2 + 0 = 666.

135832878720 is digitally balanced in base 7, 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 (135832878719) and next prime (135832878721).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135832878721) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 682577181 + ... + 682577379.

Almost surely, 2^135832878720 is an apocalyptic number.

135832878720 is a gapful number since it is divisible by the number (10) 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 135832878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321079680000).

135832878720 is an abundant number, since it is smaller than the sum of its proper divisors (506326481280).

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

135832878720 is a wasteful number, since it uses less digits than its factorization.

135832878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 135832878720 in words is "one hundred thirty-five billion, eight hundred thirty-two million, eight hundred seventy-eight thousand, seven hundred twenty".