135888480 has 576 divisors, whose sum is σ = 614210688. Its totient is φ = 26542080.

The previous prime is 135888479. The next prime is 135888481. The reversal of 135888480 is 84888531.

It is an interprime number because it is at equal distance from previous prime (135888479) and next prime (135888481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135888481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2227650 + ... + 2227710.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338).

Almost surely, 2^135888480 is an apocalyptic number.

135888480 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 135888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307105344).

135888480 is an abundant number, since it is smaller than the sum of its proper divisors (478322208).

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

135888480 is a wasteful number, since it uses less digits than its factorization.

135888480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 135888480 is about 11657.1214285517. The cubic root of 135888480 is about 514.1157162999.

The spelling of 135888480 in words is "one hundred thirty-five million, eight hundred eighty-eight thousand, four hundred eighty".