83137920 has 256 divisors, whose sum is σ = 290822400. Its totient is φ = 20127744.

The previous prime is 83137913. The next prime is 83137921. The reversal of 83137920 is 2973138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83137921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1568614 + ... + 1568666.

It is an arithmetic number, because the mean of its divisors is an integer number (1136025).

Almost surely, 2^83137920 is an apocalyptic number.

83137920 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 83137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145411200).

83137920 is an abundant number, since it is smaller than the sum of its proper divisors (207684480).

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

83137920 is a wasteful number, since it uses less digits than its factorization.

83137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 83137920 is about 9117.9997806536. Note that the first 3 decimals coincide. The cubic root of 83137920 is about 436.4485466079.

The spelling of 83137920 in words is "eighty-three million, one hundred thirty-seven thousand, nine hundred twenty".