135150242260500 has 288 divisors, whose sum is σ = 432097169317632. Its totient is φ = 35557109280000.

The previous prime is 135150242260463. The next prime is 135150242260559. The reversal of 135150242260500 is 5062242051531.

135150242260500 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 5 + 0 + 2 + 42 + 2 + 605 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128098129 + ... + 129148871.

It is an arithmetic number, because the mean of its divisors is an integer number (1500337393464).

Almost surely, 2^{135150242260500} is an apocalyptic number.

135150242260500 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 135150242260500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216048584658816).

135150242260500 is an abundant number, since it is smaller than the sum of its proper divisors (296946927057132).

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

135150242260500 is a wasteful number, since it uses less digits than its factorization.

135150242260500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051152 (or 1051137 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 135150242260500 in words is "one hundred thirty-five trillion, one hundred fifty billion, two hundred forty-two million, two hundred sixty thousand, five hundred".