137297390867280 has 720 divisors, whose sum is σ = 588955880036160. Its totient is φ = 29536241946624.

The previous prime is 137297390867269. The next prime is 137297390867321. The reversal of 137297390867280 is 82768093792731.

137297390867280 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 97 + 390 + 8 + 6 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 137297390867199 and 137297390867208.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 11954251 + ... + 20432789.

It is an arithmetic number, because the mean of its divisors is an integer number (817994277828).

Almost surely, 2^{137297390867280} is an apocalyptic number.

137297390867280 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 137297390867280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294477940018080).

137297390867280 is an abundant number, since it is smaller than the sum of its proper divisors (451658489168880).

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

137297390867280 is a wasteful number, since it uses less digits than its factorization.

137297390867280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478598 (or 8478573 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 137297390867280 in words is "one hundred thirty-seven trillion, two hundred ninety-seven billion, three hundred ninety million, eight hundred sixty-seven thousand, two hundred eighty".