137979006197760 has 6272 divisors, whose sum is σ = 675787205882880. Its totient is φ = 26197924773888.

The previous prime is 137979006197741. The next prime is 137979006197771. The reversal of 137979006197760 is 67791600979731.

137979006197760 is a `hidden beast` number, since 1 + 379 + 7 + 9 + 0 + 0 + 6 + 197 + 7 + 60 = 666.

137979006197760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1339602001869 + ... + 1339602001971.

Almost surely, 2^{137979006197760} is an apocalyptic number.

137979006197760 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 137979006197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337893602941440).

137979006197760 is an abundant number, since it is smaller than the sum of its proper divisors (537808199685120).

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

137979006197760 is a wasteful number, since it uses less digits than its factorization.

137979006197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 189035532, while the sum is 72.

The spelling of 137979006197760 in words is "one hundred thirty-seven trillion, nine hundred seventy-nine billion, six million, one hundred ninety-seven thousand, seven hundred sixty".