138415 has 16 divisors (see below), whose sum is σ = 184320. Its totient is φ = 99360.

The previous prime is 138407. The next prime is 138427. The reversal of 138415 is 514831.

138415 = T₁ + T₂ + ... + T₉₃.

138415 is a nontrivial binomial coefficient, being equal to C(95, 3).

It is not a de Polignac number, because 138415 - 2³ = 138407 is a prime.

It is a congruent number.

It is an unprimeable number.

It is the 93-rd tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2922 + ... + 2968.

It is an arithmetic number, because the mean of its divisors is an integer number (11520).

2¹³⁸⁴¹⁵ is an apocalyptic number.

138415 is a deficient number, since it is larger than the sum of its proper divisors (45905).

138415 is a wasteful number, since it uses less digits than its factorization.

138415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102.

The product of its digits is 480, while the sum is 22.

The square root of 138415 is about 372.0416643334. The cubic root of 138415 is about 51.7282419987.

It can be divided in two parts, 1 and 38415, that added together give a 4-th power (38416 = 14⁴).

The spelling of 138415 in words is "one hundred thirty-eight thousand, four hundred fifteen".