6148128100 has 27 divisors (see below), whose sum is σ = 13343139691. Its totient is φ = 2458937600.

The previous prime is 6148128097. The next prime is 6148128113. The reversal of 6148128100 is 18218416.

The square root of 6148128100 is 78410.

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

It can be written as a sum of positive squares in 4 ways, for example, as 515925796 + 5632202304 = 22714^2 + 75048^2 .

It is a super-2 number, since 2×6148128100² = 75598958268019220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 780180 + ... + 788020.

Almost surely, 2^6148128100 is an apocalyptic number.

6148128100 is the 78410-th square number.

It is an amenable number.

6148128100 is an abundant number, since it is smaller than the sum of its proper divisors (7195011591).

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

6148128100 is an frugal number, since it uses more digits than its factorization.

6148128100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15696 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The cubic root of 6148128100 is about 1831.9528954569.

The spelling of 6148128100 in words is "six billion, one hundred forty-eight million, one hundred twenty-eight thousand, one hundred".