102002133432240 has 240 divisors, whose sum is σ = 359404243251456. Its totient is φ = 25891604121600.

The previous prime is 102002133432229. The next prime is 102002133432259. The reversal of 102002133432240 is 42234331200201.

102002133432240 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 2 + 1 + 334 + 322 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36097399 + ... + 38820438.

Almost surely, 2^{102002133432240} is an apocalyptic number.

102002133432240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002133432240 is an abundant number, since it is smaller than the sum of its proper divisors (257402109819216).

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

102002133432240 is a wasteful number, since it uses less digits than its factorization.

102002133432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74917948 (or 74917939 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102002133432240 its reverse (42234331200201), we get a palindrome (144236464632441).

The spelling of 102002133432240 in words is "one hundred two trillion, two billion, one hundred thirty-three million, four hundred thirty-two thousand, two hundred forty".