83149128 has 24 divisors (see below), whose sum is σ = 225195750. Its totient is φ = 27716352.

The previous prime is 83149127. The next prime is 83149141. The reversal of 83149128 is 82194138.

It can be written as a sum of positive squares in only one way, i.e., 77475204 + 5673924 = 8802^2 + 2382^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 83149092 and 83149101.

It is not an unprimeable number, because it can be changed into a prime (83149123) 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 5 ways as a sum of consecutive naturals, for example, 577353 + ... + 577496.

Almost surely, 2^83149128 is an apocalyptic number.

It is an amenable number.

83149128 is an abundant number, since it is smaller than the sum of its proper divisors (142046622).

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

83149128 is a wasteful number, since it uses less digits than its factorization.

83149128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154861 (or 1154854 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 83149128 is about 9118.6143684224. The cubic root of 83149128 is about 436.4681585792.

The spelling of 83149128 in words is "eighty-three million, one hundred forty-nine thousand, one hundred twenty-eight".