137067615963972 has 96 divisors (see below), whose sum is σ = 360038784000000. Its totient is φ = 45088288625952.

The previous prime is 137067615963931. The next prime is 137067615963989. The reversal of 137067615963972 is 279369516760731.

137067615963972 is a `hidden beast` number, since 1 + 3 + 70 + 6 + 76 + 15 + 96 + 397 + 2 = 666.

137067615963972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137067615963972.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13037179 + ... + 21073757.

It is an arithmetic number, because the mean of its divisors is an integer number (3750404000000).

Almost surely, 2^{137067615963972} is an apocalyptic number.

137067615963972 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 137067615963972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180019392000000).

137067615963972 is an abundant number, since it is smaller than the sum of its proper divisors (222971168036028).

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

137067615963972 is a wasteful number, since it uses less digits than its factorization.

137067615963972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038670 (or 8038662 counting only the distinct ones).

The product of its (nonzero) digits is 540101520, while the sum is 72.

The spelling of 137067615963972 in words is "one hundred thirty-seven trillion, sixty-seven billion, six hundred fifteen million, nine hundred sixty-three thousand, nine hundred seventy-two".