6138132000 has 1152 divisors, whose sum is σ = 27857426688. Its totient is φ = 1161216000.

The previous prime is 6138131999. The next prime is 6138132023. The reversal of 6138132000 is 2318316.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84083964 + ... + 84084036.

It is an arithmetic number, because the mean of its divisors is an integer number (24181794).

Almost surely, 2^6138132000 is an apocalyptic number.

6138132000 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 6138132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13928713344).

6138132000 is an abundant number, since it is smaller than the sum of its proper divisors (21719294688).

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

6138132000 is a wasteful number, since it uses less digits than its factorization.

6138132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6138132000 is about 78346.2315622136. The cubic root of 6138132000 is about 1830.9595135377.

The spelling of 6138132000 in words is "six billion, one hundred thirty-eight million, one hundred thirty-two thousand".