138241100 has 72 divisors (see below), whose sum is σ = 311646720. Its totient is φ = 53190720.

The previous prime is 138241099. The next prime is 138241171. The reversal of 138241100 is 1142831.

It is a super-2 number, since 2×138241100² = 38221203458420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314681 + ... + 315119.

Almost surely, 2^138241100 is an apocalyptic number.

138241100 is a gapful number since it is divisible by the number (10) 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 138241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155823360).

138241100 is an abundant number, since it is smaller than the sum of its proper divisors (173405620).

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

138241100 is a wasteful number, since it uses less digits than its factorization.

138241100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 138241100 is about 11757.5975437161. The cubic root of 138241100 is about 517.0656970613.

Adding to 138241100 its reverse (1142831), we get a palindrome (139383931).

The spelling of 138241100 in words is "one hundred thirty-eight million, two hundred forty-one thousand, one hundred".