135417541754880 has 3264 divisors, whose sum is σ = 620969519289600. Its totient is φ = 27681903083520.

The previous prime is 135417541754849. The next prime is 135417541754933. The reversal of 135417541754880 is 88457145714531.

135417541754880 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 1 + 7 + 5 + 4 + 1 + 7 + 548 + 80 = 666.

It is a super-2 number, since 2×135417541754880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 348117073726 + ... + 348117074114.

Almost surely, 2^{135417541754880} is an apocalyptic number.

135417541754880 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 135417541754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310484759644800).

135417541754880 is an abundant number, since it is smaller than the sum of its proper divisors (485551977534720).

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

135417541754880 is an equidigital number, since it uses as much as digits as its factorization.

135417541754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 63.

The spelling of 135417541754880 in words is "one hundred thirty-five trillion, four hundred seventeen billion, five hundred forty-one million, seven hundred fifty-four thousand, eight hundred eighty".