135021480 has 192 divisors, whose sum is σ = 472288320. Its totient is φ = 30750720.

The previous prime is 135021451. The next prime is 135021499. The reversal of 135021480 is 84120531.

It is a super-2 number, since 2×135021480² = 36461600122780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135021480.

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, 246567 + ... + 247113.

It is an arithmetic number, because the mean of its divisors is an integer number (2459835).

Almost surely, 2^135021480 is an apocalyptic number.

135021480 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 135021480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236144160).

135021480 is an abundant number, since it is smaller than the sum of its proper divisors (337266840).

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

135021480 is a wasteful number, since it uses less digits than its factorization.

135021480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 135021480 is about 11619.8743538818. The cubic root of 135021480 is about 513.0199901774.

The spelling of 135021480 in words is "one hundred thirty-five million, twenty-one thousand, four hundred eighty".