48135600 has 120 divisors (see below), whose sum is σ = 171365520. Its totient is φ = 12833280.

The previous prime is 48135587. The next prime is 48135613. The reversal of 48135600 is 653184.

48135600 is a `hidden beast` number, since 48 + 13 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (48135587) and next prime (48135613).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8572 + ... + 13028.

It is an arithmetic number, because the mean of its divisors is an integer number (1428046).

Almost surely, 2^48135600 is an apocalyptic number.

48135600 is a gapful number since it is divisible by the number (40) 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 48135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85682760).

48135600 is an abundant number, since it is smaller than the sum of its proper divisors (123229920).

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

48135600 is a wasteful number, since it uses less digits than its factorization.

48135600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4467 counting only the distinct ones).

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

The square root of 48135600 is about 6937.9824156595. The cubic root of 48135600 is about 363.7660211883.

Adding to 48135600 its reverse (653184), we get a palindrome (48788784).

The spelling of 48135600 in words is "forty-eight million, one hundred thirty-five thousand, six hundred".