137079776182272 has 512 divisors, whose sum is σ = 482547412661760. Its totient is φ = 33510685409280.

The previous prime is 137079776182267. The next prime is 137079776182319. The reversal of 137079776182272 is 272281677970731.

It is a tau number, because it is divible by the number of its divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 137079776182197 and 137079776182206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128147298 + ... + 129212574.

It is an arithmetic number, because the mean of its divisors is an integer number (942475415355).

Almost surely, 2^{137079776182272} is an apocalyptic number.

137079776182272 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 137079776182272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241273706330880).

137079776182272 is an abundant number, since it is smaller than the sum of its proper divisors (345467636479488).

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

137079776182272 is a wasteful number, since it uses less digits than its factorization.

137079776182272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065345 (or 1065317 counting only the distinct ones).

The product of its (nonzero) digits is 174254976, while the sum is 69.

The spelling of 137079776182272 in words is "one hundred thirty-seven trillion, seventy-nine billion, seven hundred seventy-six million, one hundred eighty-two thousand, two hundred seventy-two".