137525703966720 has 2048 divisors, whose sum is σ = 531533350886400. Its totient is φ = 34031617966080.

The previous prime is 137525703966719. The next prime is 137525703966727. The reversal of 137525703966720 is 27669307525731.

137525703966720 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 2 + 570 + 39 + 6 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137525703966727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 651780587415 + ... + 651780587625.

Almost surely, 2^{137525703966720} is an apocalyptic number.

137525703966720 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 137525703966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265766675443200).

137525703966720 is an abundant number, since it is smaller than the sum of its proper divisors (394007646919680).

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

137525703966720 is an frugal number, since it uses more digits than its factorization.

137525703966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 63.

The spelling of 137525703966720 in words is "one hundred thirty-seven trillion, five hundred twenty-five billion, seven hundred three million, nine hundred sixty-six thousand, seven hundred twenty".