138097024 has 64 divisors (see below), whose sum is σ = 304421040. Its totient is φ = 61986816.

The previous prime is 138097021. The next prime is 138097049. The reversal of 138097024 is 420790831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138097021) 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, 60447 + ... + 62689.

Almost surely, 2^138097024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138097024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152210520).

138097024 is an abundant number, since it is smaller than the sum of its proper divisors (166324016).

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

138097024 is a wasteful number, since it uses less digits than its factorization.

138097024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 138097024 is about 11751.4690145530. The cubic root of 138097024 is about 516.8860045947.

The spelling of 138097024 in words is "one hundred thirty-eight million, ninety-seven thousand, twenty-four".