138291225450 has 192 divisors, whose sum is σ = 414170634240. Its totient is φ = 29830775040.

The previous prime is 138291225389. The next prime is 138291225481. The reversal of 138291225450 is 54522192831.

138291225450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5233672 + ... + 5260028.

It is an arithmetic number, because the mean of its divisors is an integer number (2157138720).

Almost surely, 2^138291225450 is an apocalyptic number.

138291225450 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 138291225450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207085317120).

138291225450 is an abundant number, since it is smaller than the sum of its proper divisors (275879408790).

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

138291225450 is a wasteful number, since it uses less digits than its factorization.

138291225450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26661 (or 26656 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 138291225450 in words is "one hundred thirty-eight billion, two hundred ninety-one million, two hundred twenty-five thousand, four hundred fifty".