83413152 has 144 divisors (see below), whose sum is σ = 260874432. Its totient is φ = 26127360.

The previous prime is 83413139. The next prime is 83413171. The reversal of 83413152 is 25131438.

It is a happy number.

83413152 is a `hidden beast` number, since 8 + 341 + 315 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 131877 + ... + 132507.

It is an arithmetic number, because the mean of its divisors is an integer number (1811628).

Almost surely, 2^83413152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130437216).

83413152 is an abundant number, since it is smaller than the sum of its proper divisors (177461280).

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

83413152 is a wasteful number, since it uses less digits than its factorization.

83413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 653 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 83413152 is about 9133.0800938128. The cubic root of 83413152 is about 436.9296439229.

The spelling of 83413152 in words is "eighty-three million, four hundred thirteen thousand, one hundred fifty-two".