6145335120 has 160 divisors (see below), whose sum is σ = 19245268224. Its totient is φ = 1622118400.

The previous prime is 6145335113. The next prime is 6145335169. The reversal of 6145335120 is 215335416.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 19759765 + ... + 19760075.

Almost surely, 2^6145335120 is an apocalyptic number.

6145335120 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 6145335120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9622634112).

6145335120 is an abundant number, since it is smaller than the sum of its proper divisors (13099933104).

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

6145335120 is a wasteful number, since it uses less digits than its factorization.

6145335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 6145335120 is about 78392.1878760888. The cubic root of 6145335120 is about 1831.6754460878.

The spelling of 6145335120 in words is "six billion, one hundred forty-five million, three hundred thirty-five thousand, one hundred twenty".