6144138000 has 1440 divisors, whose sum is σ = 29967415296. Its totient is φ = 1140480000.

The previous prime is 6144137999. The next prime is 6144138017. The reversal of 6144138000 is 8314416.

6144138000 is a `hidden beast` number, since 614 + 41 + 3 + 8 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 198197985 + ... + 198198015.

Almost surely, 2^6144138000 is an apocalyptic number.

6144138000 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 6144138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14983707648).

6144138000 is an abundant number, since it is smaller than the sum of its proper divisors (23823277296).

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

6144138000 is a wasteful number, since it uses less digits than its factorization.

6144138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6144138000 is about 78384.5520494951. The cubic root of 6144138000 is about 1831.5565007054.

The spelling of 6144138000 in words is "six billion, one hundred forty-four million, one hundred thirty-eight thousand".