83139955600 has 135 divisors (see below), whose sum is σ = 216485770233. Its totient is φ = 30670149120.

The previous prime is 83139955589. The next prime is 83139955601. The reversal of 83139955600 is 655993138.

It is a happy number.

The square root of 83139955600 is 288340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 70231360144 + 12908595456 = 265012^2 + 113616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83139955601) 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 26 ways as a sum of consecutive naturals, for example, 74967846 + ... + 74968954.

Almost surely, 2^83139955600 is an apocalyptic number.

83139955600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83139955600 is the 288340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83139955600

83139955600 is an abundant number, since it is smaller than the sum of its proper divisors (133345814633).

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

83139955600 is a wasteful number, since it uses less digits than its factorization.

83139955600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 49.

Multiplying 83139955600 by its sum of digits (49), we get a square (4073857824400 = 2018380²).

The spelling of 83139955600 in words is "eighty-three billion, one hundred thirty-nine million, nine hundred fifty-five thousand, six hundred".