138052993 has 16 divisors (see below), whose sum is σ = 157662400. Its totient is φ = 119828160.

The previous prime is 138052949. The next prime is 138053009. The reversal of 138052993 is 399250831.

It is a cyclic number.

It is not a de Polignac number, because 138052993 - 2¹³ = 138044801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138052913) 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, 32323 + ... + 36343.

It is an arithmetic number, because the mean of its divisors is an integer number (9853900).

Almost surely, 2^138052993 is an apocalyptic number.

138052993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

138052993 is a deficient number, since it is larger than the sum of its proper divisors (19609407).

138052993 is a wasteful number, since it uses less digits than its factorization.

138052993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192.

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 138052993 is about 11749.5954398439. The cubic root of 138052993 is about 516.8310639298.

The spelling of 138052993 in words is "one hundred thirty-eight million, fifty-two thousand, nine hundred ninety-three".