138266016 has 96 divisors (see below), whose sum is σ = 421723008. Its totient is φ = 38845440.

The previous prime is 138265987. The next prime is 138266047. The reversal of 138266016 is 610662831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×138266016³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39306 + ... + 42678.

It is an arithmetic number, because the mean of its divisors is an integer number (4392948).

Almost surely, 2^138266016 is an apocalyptic number.

138266016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138266016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210861504).

138266016 is an abundant number, since it is smaller than the sum of its proper divisors (283456992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138266016 is a wasteful number, since it uses less digits than its factorization.

138266016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 138266016 is about 11758.6570661789. The cubic root of 138266016 is about 517.0967597843.

The spelling of 138266016 in words is "one hundred thirty-eight million, two hundred sixty-six thousand, sixteen".