135045134400000 has 480 divisors, whose sum is σ = 490562446118976. Its totient is φ = 32738201600000.

The previous prime is 135045134399941. The next prime is 135045134400031. The reversal of 135045134400000 is 4431540531.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×135045134400000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51521164 + ... + 54078836.

Almost surely, 2^{135045134400000} is an apocalyptic number.

135045134400000 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 135045134400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245281223059488).

135045134400000 is an abundant number, since it is smaller than the sum of its proper divisors (355517311718976).

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

135045134400000 is an frugal number, since it uses more digits than its factorization.

135045134400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557730 (or 2557694 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 135045134400000 its reverse (4431540531), we get a palindrome (135049565940531).

The spelling of 135045134400000 in words is "one hundred thirty-five trillion, forty-five billion, one hundred thirty-four million, four hundred thousand".