83003136000 has 768 divisors, whose sum is σ = 298293166080. Its totient is φ = 20437401600.

The previous prime is 83003135981. The next prime is 83003136011. The reversal of 83003136000 is 63130038.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 653567937 + ... + 653568063.

It is an arithmetic number, because the mean of its divisors is an integer number (388402560).

Almost surely, 2^83003136000 is an apocalyptic number.

83003136000 is a gapful number since it is divisible by the number (80) 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 83003136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149146583040).

83003136000 is an abundant number, since it is smaller than the sum of its proper divisors (215290030080).

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

83003136000 is a wasteful number, since it uses less digits than its factorization.

83003136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 83003136000 its reverse (63130038), we get a palindrome (83066266038).

The spelling of 83003136000 in words is "eighty-three billion, three million, one hundred thirty-six thousand".