138219651450 has 144 divisors (see below), whose sum is σ = 385344086400. Its totient is φ = 36835585920.

The previous prime is 138219651419. The next prime is 138219651469. The reversal of 138219651450 is 54156912831.

It is a happy number.

138219651450 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 196 + 5 + 1 + 450 = 666.

It is a super-3 number, since 3×138219651450³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 138219651396 and 138219651405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29728726 + ... + 29733374.

It is an arithmetic number, because the mean of its divisors is an integer number (2676000600).

Almost surely, 2^138219651450 is an apocalyptic number.

138219651450 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 138219651450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192672043200).

138219651450 is an abundant number, since it is smaller than the sum of its proper divisors (247124434950).

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

138219651450 is a wasteful number, since it uses less digits than its factorization.

138219651450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7123 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 138219651450 in words is "one hundred thirty-eight billion, two hundred nineteen million, six hundred fifty-one thousand, four hundred fifty".