135315648 has 168 divisors, whose sum is σ = 442679328. Its totient is φ = 39149568.

The previous prime is 135315641. The next prime is 135315667. The reversal of 135315648 is 846513531.

135315648 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 1 + 5 + 648 = 666.

It is a super-3 number, since 3×135315648³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135315641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126765 + ... + 127827.

It is an arithmetic number, because the mean of its divisors is an integer number (2634996).

Almost surely, 2^135315648 is an apocalyptic number.

135315648 is a gapful number since it is divisible by the number (18) 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 135315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221339664).

135315648 is an abundant number, since it is smaller than the sum of its proper divisors (307363680).

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

135315648 is a wasteful number, since it uses less digits than its factorization.

135315648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1098 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 135315648 is about 11632.5254351753. The cubic root of 135315648 is about 513.3922879761.

The spelling of 135315648 in words is "one hundred thirty-five million, three hundred fifteen thousand, six hundred forty-eight".