83153136 has 120 divisors (see below), whose sum is σ = 240123520. Its totient is φ = 24773760.

The previous prime is 83153117. The next prime is 83153149. The reversal of 83153136 is 63135138.

It is a super-3 number, since 3×83153136³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598155 + ... + 598293.

Almost surely, 2^83153136 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 83153136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120061760).

83153136 is an abundant number, since it is smaller than the sum of its proper divisors (156970384).

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

83153136 is a wasteful number, since it uses less digits than its factorization.

83153136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 83153136 is about 9118.8341360066. The cubic root of 83153136 is about 436.4751714259.

The spelling of 83153136 in words is "eighty-three million, one hundred fifty-three thousand, one hundred thirty-six".