138517641 has 32 divisors (see below), whose sum is σ = 215383040. Its totient is φ = 87868800.

The previous prime is 138517633. The next prime is 138517651. The reversal of 138517641 is 146715831.

138517641 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 1 + 7 + 641 = 666.

It is not a de Polignac number, because 138517641 - 2³ = 138517633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138517596 and 138517605.

It is not an unprimeable number, because it can be changed into a prime (138517651) 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, 49701 + ... + 52413.

It is an arithmetic number, because the mean of its divisors is an integer number (6730720).

Almost surely, 2^138517641 is an apocalyptic number.

It is an amenable number.

138517641 is a deficient number, since it is larger than the sum of its proper divisors (76865399).

138517641 is a wasteful number, since it uses less digits than its factorization.

138517641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2808 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 138517641 is about 11769.3517663464. The cubic root of 138517641 is about 517.4102511867.

The spelling of 138517641 in words is "one hundred thirty-eight million, five hundred seventeen thousand, six hundred forty-one".