135658848 has 96 divisors (see below), whose sum is σ = 389152512. Its totient is φ = 41126400.

The previous prime is 135658843. The next prime is 135658849. The reversal of 135658848 is 848856531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 135658797 and 135658806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135658843) 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 15 ways as a sum of consecutive naturals, for example, 87843 + ... + 89373.

It is an arithmetic number, because the mean of its divisors is an integer number (4053672).

Almost surely, 2^135658848 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 135658848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194576256).

135658848 is an abundant number, since it is smaller than the sum of its proper divisors (253493664).

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

135658848 is a wasteful number, since it uses less digits than its factorization.

135658848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1620 counting only the distinct ones).

The product of its digits is 921600, while the sum is 48.

The square root of 135658848 is about 11647.2678341317. The cubic root of 135658848 is about 513.8259591336.

The spelling of 135658848 in words is "one hundred thirty-five million, six hundred fifty-eight thousand, eight hundred forty-eight".