135060150240 has 1296 divisors, whose sum is σ = 551784804480. Its totient is φ = 30005821440.

The previous prime is 135060150233. The next prime is 135060150283. The reversal of 135060150240 is 42051060531.

135060150240 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 601 + 50 + 2 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4356779025 + ... + 4356779055.

It is an arithmetic number, because the mean of its divisors is an integer number (425759880).

Almost surely, 2^135060150240 is an apocalyptic number.

135060150240 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 135060150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275892402240).

135060150240 is an abundant number, since it is smaller than the sum of its proper divisors (416724654240).

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

135060150240 is a wasteful number, since it uses less digits than its factorization.

135060150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 135060150240 in words is "one hundred thirty-five billion, sixty million, one hundred fifty thousand, two hundred forty".