138201024 has 112 divisors (see below), whose sum is σ = 417076128. Its totient is φ = 40009728.

The previous prime is 138201023. The next prime is 138201029. The reversal of 138201024 is 420102831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138201023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40804 + ... + 44060.

It is an arithmetic number, because the mean of its divisors is an integer number (3723894).

Almost surely, 2^138201024 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 138201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208538064).

138201024 is an abundant number, since it is smaller than the sum of its proper divisors (278875104).

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

138201024 is a wasteful number, since it uses less digits than its factorization.

138201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 138201024 is about 11755.8931604536. The cubic root of 138201024 is about 517.0157265686.

Adding to 138201024 its reverse (420102831), we get a palindrome (558303855).

The spelling of 138201024 in words is "one hundred thirty-eight million, two hundred one thousand, twenty-four".