135160471514880 has 1440 divisors, whose sum is σ = 556436547330048. Its totient is φ = 30813563289600.

The previous prime is 135160471514863. The next prime is 135160471514911. The reversal of 135160471514880 is 88415174061531.

135160471514880 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 6 + 0 + 4 + 7 + 151 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×135160471514880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 91883392545 + ... + 91883394015.

Almost surely, 2^{135160471514880} is an apocalyptic number.

135160471514880 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 135160471514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278218273665024).

135160471514880 is an abundant number, since it is smaller than the sum of its proper divisors (421276075815168).

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

135160471514880 is an frugal number, since it uses more digits than its factorization.

135160471514880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 135160471514880 in words is "one hundred thirty-five trillion, one hundred sixty billion, four hundred seventy-one million, five hundred fourteen thousand, eight hundred eighty".