6145126020 has 192 divisors, whose sum is σ = 20959303680. Its totient is φ = 1482364800.

The previous prime is 6145126003. The next prime is 6145126069. The reversal of 6145126020 is 206215416.

6145126020 is a `hidden beast` number, since 6 + 1 + 4 + 51 + 2 + 602 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1250889 + ... + 1255791.

It is an arithmetic number, because the mean of its divisors is an integer number (109163040).

Almost surely, 2^6145126020 is an apocalyptic number.

6145126020 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 6145126020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10479651840).

6145126020 is an abundant number, since it is smaller than the sum of its proper divisors (14814177660).

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

6145126020 is a wasteful number, since it uses less digits than its factorization.

6145126020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6145126020 is about 78390.8541859317. The cubic root of 6145126020 is about 1831.6546711058.

The spelling of 6145126020 in words is "six billion, one hundred forty-five million, one hundred twenty-six thousand, twenty".