30137743800 has 144 divisors (see below), whose sum is σ = 101263373640. Its totient is φ = 8032700160.

The previous prime is 30137743793. The next prime is 30137743807. The reversal of 30137743800 is 834773103.

It is an interprime number because it is at equal distance from previous prime (30137743793) and next prime (30137743807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30137743807) 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 35 ways as a sum of consecutive naturals, for example, 5852827 + ... + 5857973.

Almost surely, 2^30137743800 is an apocalyptic number.

30137743800 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 30137743800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50631686820).

30137743800 is an abundant number, since it is smaller than the sum of its proper divisors (71125629840).

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

30137743800 is a wasteful number, since it uses less digits than its factorization.

30137743800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 30137743800 in words is "thirty billion, one hundred thirty-seven million, seven hundred forty-three thousand, eight hundred".