135978648 has 128 divisors (see below), whose sum is σ = 400619520. Its totient is φ = 38062080.

The previous prime is 135978641. The next prime is 135978677. The reversal of 135978648 is 846879531.

135978648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 135978648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135978641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164011 + ... + 164837.

It is an arithmetic number, because the mean of its divisors is an integer number (3129840).

Almost surely, 2^135978648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135978648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200309760).

135978648 is an abundant number, since it is smaller than the sum of its proper divisors (264640872).

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

135978648 is a wasteful number, since it uses less digits than its factorization.

135978648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 893 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 135978648 is about 11660.9882943085. The cubic root of 135978648 is about 514.2294039758.

The spelling of 135978648 in words is "one hundred thirty-five million, nine hundred seventy-eight thousand, six hundred forty-eight".