102182257135728 has 2560 divisors, whose sum is σ = 411270591283200. Its totient is φ = 23479090790400.

The previous prime is 102182257135687. The next prime is 102182257135781. The reversal of 102182257135728 is 827531752281201.

102182257135728 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 8 + 2 + 2 + 57 + 13 + 572 + 8 = 666.

It is a super-2 number, since 2×102182257135728² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 213324127393 + ... + 213324127871.

It is an arithmetic number, because the mean of its divisors is an integer number (160652574720).

Almost surely, 2^{102182257135728} is an apocalyptic number.

102182257135728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102182257135728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205635295641600).

102182257135728 is an abundant number, since it is smaller than the sum of its proper divisors (309088334147472).

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

102182257135728 is a wasteful number, since it uses less digits than its factorization.

102182257135728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 102182257135728 in words is "one hundred two trillion, one hundred eighty-two billion, two hundred fifty-seven million, one hundred thirty-five thousand, seven hundred twenty-eight".