48145136400 has 675 divisors, whose sum is σ = 184100614159. Its totient is φ = 12048791040.

The previous prime is 48145136387. The next prime is 48145136483. The reversal of 48145136400 is 463154184.

The square root of 48145136400 is 219420.

It is a perfect power (a square), and thus also a powerful number.

48145136400 is a `hidden beast` number, since 4 + 8 + 1 + 4 + 5 + 1 + 3 + 640 + 0 = 666.

48145136400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 362673936 + 47782462464 = 19044^2 + 218592^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 908398774 + ... + 908398826.

Almost surely, 2^48145136400 is an apocalyptic number.

48145136400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48145136400 is the 219420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48145136400

48145136400 is an abundant number, since it is smaller than the sum of its proper divisors (135955477759).

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

48145136400 is a wasteful number, since it uses less digits than its factorization.

48145136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 48145136400 by its sum of digits (36), we get a square (1733224910400 = 1316520²).

48145136400 divided by its sum of digits (36) gives a square (1337364900 = 36570²).

The spelling of 48145136400 in words is "forty-eight billion, one hundred forty-five million, one hundred thirty-six thousand, four hundred".