83136420 has 144 divisors (see below), whose sum is σ = 266692608. Its totient is φ = 20931840.

The previous prime is 83136401. The next prime is 83136439. The reversal of 83136420 is 2463138.

It is a happy number.

83136420 is a `hidden beast` number, since 8 + 3 + 13 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83136401) and next prime (83136439).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262102 + ... + 262418.

It is an arithmetic number, because the mean of its divisors is an integer number (1852032).

Almost surely, 2^83136420 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 83136420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133346304).

83136420 is an abundant number, since it is smaller than the sum of its proper divisors (183556188).

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

83136420 is a wasteful number, since it uses less digits than its factorization.

83136420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83136420 is about 9117.9175254002. The cubic root of 83136420 is about 436.4459217457.

Adding to 83136420 its reverse (2463138), we get a palindrome (85599558).

It can be divided in two parts, 83 and 136420, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 83136420 in words is "eighty-three million, one hundred thirty-six thousand, four hundred twenty".