137976172460160 has 1024 divisors, whose sum is σ = 461816241868800. Its totient is φ = 35015860224000.

The previous prime is 137976172460153. The next prime is 137976172460183. The reversal of 137976172460160 is 61064271679731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 137976172460094 and 137976172460103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133827518845 + ... + 133827519875.

It is an arithmetic number, because the mean of its divisors is an integer number (450992423700).

Almost surely, 2^{137976172460160} is an apocalyptic number.

137976172460160 is a gapful number since it is divisible by the number (10) 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 137976172460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230908120934400).

137976172460160 is an abundant number, since it is smaller than the sum of its proper divisors (323840069408640).

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

137976172460160 is a wasteful number, since it uses less digits than its factorization.

137976172460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 137976172460160 in words is "one hundred thirty-seven trillion, nine hundred seventy-six billion, one hundred seventy-two million, four hundred sixty thousand, one hundred sixty".