102578138208 has 972 divisors, whose sum is σ = 388022560380. Its totient is φ = 26595039744.

The previous prime is 102578138167. The next prime is 102578138237. The reversal of 102578138208 is 802831875201.

102578138208 is a `hidden beast` number, since 10 + 257 + 8 + 1 + 382 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1738612483 + ... + 1738612541.

It is an arithmetic number, because the mean of its divisors is an integer number (399200165).

Almost surely, 2^102578138208 is an apocalyptic number.

102578138208 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 102578138208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194011280190).

102578138208 is an abundant number, since it is smaller than the sum of its proper divisors (285444422172).

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

102578138208 is an frugal number, since it uses more digits than its factorization.

102578138208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 102578138208 in words is "one hundred two billion, five hundred seventy-eight million, one hundred thirty-eight thousand, two hundred eight".