30427137000 has 512 divisors, whose sum is σ = 118564992000. Its totient is φ = 7162214400.

The previous prime is 30427136923. The next prime is 30427137001. The reversal of 30427137000 is 73172403.

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

It is not an unprimeable number, because it can be changed into a prime (30427137001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 8071116 + ... + 8074884.

It is an arithmetic number, because the mean of its divisors is an integer number (231572250).

Almost surely, 2^30427137000 is an apocalyptic number.

30427137000 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 30427137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59282496000).

30427137000 is an abundant number, since it is smaller than the sum of its proper divisors (88137855000).

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

30427137000 is a wasteful number, since it uses less digits than its factorization.

30427137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 30427137000 in words is "thirty billion, four hundred twenty-seven million, one hundred thirty-seven thousand".