135672480 has 144 divisors (see below), whose sum is σ = 469857024. Its totient is φ = 35642880.

The previous prime is 135672473. The next prime is 135672487. The reversal of 135672480 is 84276531.

135672480 is a `hidden beast` number, since 13 + 567 + 2 + 4 + 80 = 666.

135672480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135672473) and next prime (135672487).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135672487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101577 + ... + 102903.

It is an arithmetic number, because the mean of its divisors is an integer number (3262896).

Almost surely, 2^135672480 is an apocalyptic number.

135672480 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 135672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234928512).

135672480 is an abundant number, since it is smaller than the sum of its proper divisors (334184544).

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

135672480 is a wasteful number, since it uses less digits than its factorization.

135672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 135672480 is about 11647.8530210507. The cubic root of 135672480 is about 513.8431695624.

The spelling of 135672480 in words is "one hundred thirty-five million, six hundred seventy-two thousand, four hundred eighty".