138806016 has 72 divisors (see below), whose sum is σ = 372212400. Its totient is φ = 45920256.

The previous prime is 138805973. The next prime is 138806023. The reversal of 138806016 is 610608831.

It is a super-2 number, since 2×138806016² = 38534220155584512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113826 + ... + 115038.

Almost surely, 2^138806016 is an apocalyptic number.

138806016 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 138806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186106200).

138806016 is an abundant number, since it is smaller than the sum of its proper divisors (233406384).

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

138806016 is a wasteful number, since it uses less digits than its factorization.

138806016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 138806016 is about 11781.5964962309. The cubic root of 138806016 is about 517.7690616986.

The spelling of 138806016 in words is "one hundred thirty-eight million, eight hundred six thousand, sixteen".