138553521807375 has 192 divisors, whose sum is σ = 254916741980160. Its totient is φ = 72385657344000.

The previous prime is 138553521807361. The next prime is 138553521807401. The reversal of 138553521807375 is 573708125355831.

138553521807375 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 535 + 21 + 8 + 0 + 7 + 3 + 75 = 666.

It is a Cunningham number, because it is equal to 11770876²-1.

It is not a de Polignac number, because 138553521807375 - 2⁸ = 138553521807119 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13242231394 + ... + 13242241856.

It is an arithmetic number, because the mean of its divisors is an integer number (1327691364480).

Almost surely, 2^{138553521807375} is an apocalyptic number.

138553521807375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138553521807375 is a deficient number, since it is larger than the sum of its proper divisors (116363220172785).

138553521807375 is a wasteful number, since it uses less digits than its factorization.

138553521807375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11607 (or 11594 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 63.

The spelling of 138553521807375 in words is "one hundred thirty-eight trillion, five hundred fifty-three billion, five hundred twenty-one million, eight hundred seven thousand, three hundred seventy-five".