6132114900 has 108 divisors (see below), whose sum is σ = 19275328800. Its totient is φ = 1630589760.

The previous prime is 6132114899. The next prime is 6132114907. The reversal of 6132114900 is 94112316.

6132114900 is a `hidden beast` number, since 613 + 2 + 1 + 1 + 49 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6132114907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 313611 + ... + 332589.

Almost surely, 2^6132114900 is an apocalyptic number.

6132114900 is a gapful number since it is divisible by the number (60) 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 6132114900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9637664400).

6132114900 is an abundant number, since it is smaller than the sum of its proper divisors (13143213900).

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

6132114900 is a wasteful number, since it uses less digits than its factorization.

6132114900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19358 (or 19348 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6132114900 is about 78307.8214484351. The cubic root of 6132114900 is about 1830.3610324148.

The spelling of 6132114900 in words is "six billion, one hundred thirty-two million, one hundred fourteen thousand, nine hundred".