138547291262976 has 832 divisors, whose sum is σ = 454318519910400. Its totient is φ = 41529861734400.

The previous prime is 138547291262971. The next prime is 138547291262987. The reversal of 138547291262976 is 679262192745831.

138547291262976 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 4 + 7 + 291 + 262 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (138547291262971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4604261691 + ... + 4604291781.

Almost surely, 2^{138547291262976} is an apocalyptic number.

138547291262976 is a gapful number since it is divisible by the number (16) 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 138547291262976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227159259955200).

138547291262976 is an abundant number, since it is smaller than the sum of its proper divisors (315771228647424).

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

138547291262976 is a wasteful number, since it uses less digits than its factorization.

138547291262976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30251 (or 30223 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 138547291262976 in words is "one hundred thirty-eight trillion, five hundred forty-seven billion, two hundred ninety-one million, two hundred sixty-two thousand, nine hundred seventy-six".