138135450 has 48 divisors (see below), whose sum is σ = 346942080. Its totient is φ = 36366720.

The previous prime is 138135449. The next prime is 138135451. The reversal of 138135450 is 54531831.

It is an interprime number because it is at equal distance from previous prime (138135449) and next prime (138135451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (138135451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6022 + ... + 17678.

It is an arithmetic number, because the mean of its divisors is an integer number (7227960).

Almost surely, 2^138135450 is an apocalyptic number.

138135450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138135450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173471040).

138135450 is an abundant number, since it is smaller than the sum of its proper divisors (208806630).

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

138135450 is a wasteful number, since it uses less digits than its factorization.

138135450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11751 (or 11746 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 138135450 is about 11753.1038453678. The cubic root of 138135450 is about 516.9339419533.

The spelling of 138135450 in words is "one hundred thirty-eight million, one hundred thirty-five thousand, four hundred fifty".