6142549140 has 1152 divisors, whose sum is σ = 27122135040. Its totient is φ = 1128701952.

The previous prime is 6142549129. The next prime is 6142549181. The reversal of 6142549140 is 419452416.

6142549140 is a `hidden beast` number, since 61 + 42 + 549 + 14 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6142549095 and 6142549104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 142849959 + ... + 142850001.

It is an arithmetic number, because the mean of its divisors is an integer number (23543520).

Almost surely, 2^6142549140 is an apocalyptic number.

6142549140 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 6142549140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561067520).

6142549140 is an abundant number, since it is smaller than the sum of its proper divisors (20979585900).

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

6142549140 is a wasteful number, since it uses less digits than its factorization.

6142549140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6142549140 is about 78374.4163614633. The cubic root of 6142549140 is about 1831.3986083238.

The spelling of 6142549140 in words is "six billion, one hundred forty-two million, five hundred forty-nine thousand, one hundred forty".