135374561280 has 1344 divisors, whose sum is σ = 583937303040. Its totient is φ = 29429858304.

The previous prime is 135374561269. The next prime is 135374561297. The reversal of 135374561280 is 82165473531.

It is a happy number.

135374561280 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 7 + 4 + 561 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 95 ways as a sum of consecutive naturals, for example, 2020515807 + ... + 2020515873.

It is an arithmetic number, because the mean of its divisors is an integer number (434477160).

Almost surely, 2^135374561280 is an apocalyptic number.

135374561280 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 135374561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291968651520).

135374561280 is an abundant number, since it is smaller than the sum of its proper divisors (448562741760).

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

135374561280 is an frugal number, since it uses more digits than its factorization.

135374561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 135374561280 in words is "one hundred thirty-five billion, three hundred seventy-four million, five hundred sixty-one thousand, two hundred eighty".