138251313 has 8 divisors (see below), whose sum is σ = 204816800. Its totient is φ = 92167524.

The previous prime is 138251291. The next prime is 138251317. The reversal of 138251313 is 313152831.

138251313 is a `hidden beast` number, since 138 + 2 + 513 + 13 = 666.

It is not a de Polignac number, because 138251313 - 2¹⁶ = 138185777 is a prime.

It is a super-4 number, since 4×138251313⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 5120419 = 138251313 / (1 + 3 + 8 + 2 + 5 + 1 + 3 + 1 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138251317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2560183 + ... + 2560236.

It is an arithmetic number, because the mean of its divisors is an integer number (25602100).

Almost surely, 2^138251313 is an apocalyptic number.

It is an amenable number.

138251313 is a deficient number, since it is larger than the sum of its proper divisors (66565487).

138251313 is an equidigital number, since it uses as much as digits as its factorization.

138251313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120428 (or 5120422 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 138251313 is about 11758.0318506117. The cubic root of 138251313 is about 517.0784300375.

The spelling of 138251313 in words is "one hundred thirty-eight million, two hundred fifty-one thousand, three hundred thirteen".