137681813025 has 81 divisors (see below), whose sum is σ = 255699983019. Its totient is φ = 70815104640.

The previous prime is 137681812979. The next prime is 137681813033. The reversal of 137681813025 is 520318186731.

It is a happy number.

The square root of 137681813025 is 371055.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 135535158801 + 2146654224 = 368151^2 + 46332^2 .

It is a de Polignac number, because none of the positive numbers 2^k-137681813025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 161408499 + ... + 161409351.

Almost surely, 2^137681813025 is an apocalyptic number.

137681813025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137681813025 is the 371055-th square number.

137681813025 is the 185528-th centered octagonal number.

It is an amenable number.

137681813025 is a deficient number, since it is larger than the sum of its proper divisors (118018169994).

137681813025 is an frugal number, since it uses more digits than its factorization.

137681813025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Adding to 137681813025 its reverse (520318186731), we get a palindrome (657999999756).

The spelling of 137681813025 in words is "one hundred thirty-seven billion, six hundred eighty-one million, eight hundred thirteen thousand, twenty-five".