135143406720 has 1280 divisors, whose sum is σ = 615283257600. Its totient is φ = 27518828544.

The previous prime is 135143406719. The next prime is 135143406731. The reversal of 135143406720 is 27604341531.

135143406720 = T₉₁ + T₉₂ + ... + T₉₃₂₄.

It is a super-3 number, since 3×135143406720³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 117209664 + ... + 117210816.

It is an arithmetic number, because the mean of its divisors is an integer number (480690045).

Almost surely, 2^135143406720 is an apocalyptic number.

135143406720 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 135143406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307641628800).

135143406720 is an abundant number, since it is smaller than the sum of its proper divisors (480139850880).

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

135143406720 is a wasteful number, since it uses less digits than its factorization.

135143406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 135143406720 in words is "one hundred thirty-five billion, one hundred forty-three million, four hundred six thousand, seven hundred twenty".