135411978240 has 1872 divisors, whose sum is σ = 629288974080. Its totient is φ = 26589265920.

The previous prime is 135411978179. The next prime is 135411978253. The reversal of 135411978240 is 42879114531.

135411978240 is a `hidden beast` number, since 1 + 3 + 541 + 19 + 78 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2881105897 + ... + 2881105943.

It is an arithmetic number, because the mean of its divisors is an integer number (336158640).

Almost surely, 2^135411978240 is an apocalyptic number.

135411978240 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 135411978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314644487040).

135411978240 is an abundant number, since it is smaller than the sum of its proper divisors (493876995840).

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

135411978240 is a wasteful number, since it uses less digits than its factorization.

135411978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 135411978240 in words is "one hundred thirty-five billion, four hundred eleven million, nine hundred seventy-eight thousand, two hundred forty".