84133148 has 48 divisors (see below), whose sum is σ = 166168800. Its totient is φ = 36940800.

The previous prime is 84133129. The next prime is 84133151.

84133148 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 268640 + ... + 268952.

It is an arithmetic number, because the mean of its divisors is an integer number (3461850).

Almost surely, 2^84133148 is an apocalyptic number.

It is an amenable number.

84133148 is a deficient number, since it is larger than the sum of its proper divisors (82035652).

84133148 is a wasteful number, since it uses less digits than its factorization.

84133148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 516 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 84133148 is about 9172.4123326418. The cubic root of 84133148 is about 438.1831903312.

The spelling of 84133148 in words is "eighty-four million, one hundred thirty-three thousand, one hundred forty-eight".