138753023200541 has 16 divisors (see below), whose sum is σ = 143980922535936. Its totient is φ = 133572144150000.

The previous prime is 138753023200507. The next prime is 138753023200559. The reversal of 138753023200541 is 145002320357831.

It is a cyclic number.

It is not a de Polignac number, because 138753023200541 - 2²² = 138753019006237 is a prime.

It is a super-2 number, since 2×138753023200541² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138753023200492 and 138753023200501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138753023200741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558528086 + ... + 558776456.

It is an arithmetic number, because the mean of its divisors is an integer number (8998807658496).

Almost surely, 2^{138753023200541} is an apocalyptic number.

It is an amenable number.

138753023200541 is a deficient number, since it is larger than the sum of its proper divisors (5227899335395).

138753023200541 is a wasteful number, since it uses less digits than its factorization.

138753023200541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342944.

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 138753023200541 in words is "one hundred thirty-eight trillion, seven hundred fifty-three billion, twenty-three million, two hundred thousand, five hundred forty-one".