138098016 has 72 divisors (see below), whose sum is σ = 448825104. Its totient is φ = 39456000.

The previous prime is 138098011. The next prime is 138098017. The reversal of 138098016 is 610890831.

138098016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138098011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32235 + ... + 36266.

It is an arithmetic number, because the mean of its divisors is an integer number (6233682).

Almost surely, 2^138098016 is an apocalyptic number.

138098016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138098016 is an abundant number, since it is smaller than the sum of its proper divisors (310727088).

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

138098016 is a wasteful number, since it uses less digits than its factorization.

138098016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68524 (or 68513 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 138098016 is about 11751.5112219663. The cubic root of 138098016 is about 516.8872422503.

The spelling of 138098016 in words is "one hundred thirty-eight million, ninety-eight thousand, sixteen".