135600480 has 120 divisors (see below), whose sum is σ = 478602432. Its totient is φ = 36156672.

The previous prime is 135600463. The next prime is 135600497. The reversal of 135600480 is 84006531.

135600480 is a `hidden beast` number, since 13 + 5 + 600 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135600463) and next prime (135600497).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7729 + ... + 18191.

Almost surely, 2^135600480 is an apocalyptic number.

135600480 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 135600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239301216).

135600480 is an abundant number, since it is smaller than the sum of its proper divisors (343001952).

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

135600480 is a wasteful number, since it uses less digits than its factorization.

135600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10490 (or 10473 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135600480 is about 11644.7619125511. The cubic root of 135600480 is about 513.7522563703.

The spelling of 135600480 in words is "one hundred thirty-five million, six hundred thousand, four hundred eighty".