138510000 has 350 divisors, whose sum is σ = 529252460. Its totient is φ = 34992000.

The previous prime is 138509957. The next prime is 138510007. The reversal of 138510000 is 15831.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (138510007) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 7289991 + ... + 7290009.

Almost surely, 2^138510000 is an apocalyptic number.

138510000 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 138510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264626230).

138510000 is an abundant number, since it is smaller than the sum of its proper divisors (390742460).

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

138510000 is an frugal number, since it uses more digits than its factorization.

138510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 138510000 is about 11769.0271475598. The cubic root of 138510000 is about 517.4007371050.

Adding to 138510000 its reverse (15831), we get a palindrome (138525831).

The spelling of 138510000 in words is "one hundred thirty-eight million, five hundred ten thousand".