83137217133024 has 384 divisors, whose sum is σ = 251848401638400. Its totient is φ = 27001466505216.

The previous prime is 83137217132989. The next prime is 83137217133071. The reversal of 83137217133024 is 42033171273138.

83137217133024 is a `hidden beast` number, since 8 + 313 + 7 + 2 + 17 + 13 + 302 + 4 = 666.

83137217133024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×83137217133024² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466494237 + ... + 466672419.

It is an arithmetic number, because the mean of its divisors is an integer number (655855212600).

Almost surely, 2^{83137217133024} 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 83137217133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125924200819200).

83137217133024 is an abundant number, since it is smaller than the sum of its proper divisors (168711184505376).

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

83137217133024 is a wasteful number, since it uses less digits than its factorization.

83137217133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178386 (or 178360 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 83137217133024 in words is "eighty-three trillion, one hundred thirty-seven billion, two hundred seventeen million, one hundred thirty-three thousand, twenty-four".