138240000 has 280 divisors, whose sum is σ = 511804920. Its totient is φ = 36864000.

The previous prime is 138239999. The next prime is 138240061. The reversal of 138240000 is 42831.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×138240000² = 38220595200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27647998 + ... + 27648002.

Almost surely, 2^138240000 is an apocalyptic number.

138240000 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 138240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255902460).

138240000 is an abundant number, since it is smaller than the sum of its proper divisors (373564920).

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

138240000 is an frugal number, since it uses more digits than its factorization.

138240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 138240000 is about 11757.5507653593. The cubic root of 138240000 is about 517.0643256077.

Adding to 138240000 its reverse (42831), we get a palindrome (138282831).

The spelling of 138240000 in words is "one hundred thirty-eight million, two hundred forty thousand".