135215364240 has 240 divisors, whose sum is σ = 516918879360. Its totient is φ = 31354245120.

The previous prime is 135215364239. The next prime is 135215364259. The reversal of 135215364240 is 42463512531.

135215364240 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 1 + 5 + 3 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 135215364195 and 135215364204.

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, 188985 + ... + 553304.

It is an arithmetic number, because the mean of its divisors is an integer number (2153828664).

Almost surely, 2^135215364240 is an apocalyptic number.

135215364240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135215364240 is an abundant number, since it is smaller than the sum of its proper divisors (381703515120).

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

135215364240 is a wasteful number, since it uses less digits than its factorization.

135215364240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742342 (or 742333 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 135215364240 its reverse (42463512531), we get a palindrome (177678876771).

It can be divided in two parts, 13521 and 5364240, that added together give a square (5377761 = 2319²).

The spelling of 135215364240 in words is "one hundred thirty-five billion, two hundred fifteen million, three hundred sixty-four thousand, two hundred forty".