102133640448 has 288 divisors, whose sum is σ = 346440012800. Its totient is φ = 29074028544.

The previous prime is 102133640423. The next prime is 102133640467. The reversal of 102133640448 is 844046331201.

102133640448 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 3 + 640 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×102133640448² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13688943 + ... + 13696401.

Almost surely, 2^102133640448 is an apocalyptic number.

102133640448 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 102133640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173220006400).

102133640448 is an abundant number, since it is smaller than the sum of its proper divisors (244306372352).

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

102133640448 is an equidigital number, since it uses as much as digits as its factorization.

102133640448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7774 (or 7754 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 102133640448 its reverse (844046331201), we get a palindrome (946179971649).

The spelling of 102133640448 in words is "one hundred two billion, one hundred thirty-three million, six hundred forty thousand, four hundred forty-eight".