138194350272 has 336 divisors, whose sum is σ = 440921448864. Its totient is φ = 41029632000.

The previous prime is 138194350241. The next prime is 138194350303. The reversal of 138194350272 is 272053491831.

It is a happy number.

138194350272 is a `hidden beast` number, since 1 + 38 + 1 + 9 + 43 + 502 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (138194350241) and next prime (138194350303).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130248622 + ... + 130249682.

Almost surely, 2^138194350272 is an apocalyptic number.

138194350272 is a gapful number since it is divisible by the number (12) 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 138194350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220460724432).

138194350272 is an abundant number, since it is smaller than the sum of its proper divisors (302727098592).

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

138194350272 is a wasteful number, since it uses less digits than its factorization.

138194350272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 138194350272 in words is "one hundred thirty-eight billion, one hundred ninety-four million, three hundred fifty thousand, two hundred seventy-two".