306072147000 has 256 divisors, whose sum is σ = 970769479680. Its totient is φ = 80270784000.

The previous prime is 306072146911. The next prime is 306072147013. The reversal of 306072147000 is 741270603.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247430382 + ... + 247431618.

It is an arithmetic number, because the mean of its divisors is an integer number (3792068280).

Almost surely, 2^306072147000 is an apocalyptic number.

306072147000 is a gapful number since it is divisible by the number (30) 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 306072147000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485384739840).

306072147000 is an abundant number, since it is smaller than the sum of its proper divisors (664697332680).

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

306072147000 is a wasteful number, since it uses less digits than its factorization.

306072147000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 306072147000 in words is "three hundred six billion, seventy-two million, one hundred forty-seven thousand".