102302014133440 has 224 divisors, whose sum is σ = 271509300820800. Its totient is φ = 36403532267520.

The previous prime is 102302014133393. The next prime is 102302014133447. The reversal of 102302014133440 is 44331410203201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102302014133399 and 102302014133408.

It is not an unprimeable number, because it can be changed into a prime (102302014133447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28704906 + ... + 32071414.

It is an arithmetic number, because the mean of its divisors is an integer number (1212095092950).

Almost surely, 2^{102302014133440} is an apocalyptic number.

102302014133440 is a gapful number since it is divisible by the number (10) 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 102302014133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135754650410400).

102302014133440 is an abundant number, since it is smaller than the sum of its proper divisors (169207286687360).

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

102302014133440 is a wasteful number, since it uses less digits than its factorization.

102302014133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366723 (or 3366713 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 102302014133440 its reverse (44331410203201), we get a palindrome (146633424336641).

The spelling of 102302014133440 in words is "one hundred two trillion, three hundred two billion, fourteen million, one hundred thirty-three thousand, four hundred forty".