6135948000 has 576 divisors, whose sum is σ = 26816130432. Its totient is φ = 1293926400.

The previous prime is 6135947999. The next prime is 6135948047. The reversal of 6135948000 is 8495316.

6135948000 is a `hidden beast` number, since 61 + 3 + 594 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3275064 + ... + 3276936.

It is an arithmetic number, because the mean of its divisors is an integer number (46555782).

Almost surely, 2^6135948000 is an apocalyptic number.

6135948000 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 6135948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13408065216).

6135948000 is an abundant number, since it is smaller than the sum of its proper divisors (20680182432).

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

6135948000 is a wasteful number, since it uses less digits than its factorization.

6135948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6135948000 is about 78332.2921916626. The cubic root of 6135948000 is about 1830.7423307454.

The spelling of 6135948000 in words is "six billion, one hundred thirty-five million, nine hundred forty-eight thousand".