137712241216 has 63 divisors (see below), whose sum is σ = 300445402537. Its totient is φ = 62581629440.

The previous prime is 137712241211. The next prime is 137712241259. The reversal of 137712241216 is 612142217731.

The square root of 137712241216 is 371096.

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

It can be written as a sum of positive squares in only one way, i.e., 122360040000 + 15352201216 = 349800^2 + 123904^2 .

It is a super-2 number, since 2×137712241216² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137712241211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32654340 + ... + 32658556.

Almost surely, 2^137712241216 is an apocalyptic number.

137712241216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137712241216 is the 371096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137712241216

137712241216 is an abundant number, since it is smaller than the sum of its proper divisors (162733161321).

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

137712241216 is an frugal number, since it uses more digits than its factorization.

137712241216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8468 (or 4230 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

Adding to 137712241216 its reverse (612142217731), we get a palindrome (749854458947).

The spelling of 137712241216 in words is "one hundred thirty-seven billion, seven hundred twelve million, two hundred forty-one thousand, two hundred sixteen".