137415524416 has 21 divisors (see below), whose sum is σ = 272689816189. Its totient is φ = 68706279424.

The previous prime is 137415524387. The next prime is 137415524419. The reversal of 137415524416 is 614425514731.

The square root of 137415524416 is 370696.

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

137415524416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 59516481600 + 77899042816 = 243960^2 + 279104^2 .

It is a super-3 number, since 3×137415524416³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137415524419) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2942400 + ... + 2988736.

Almost surely, 2^137415524416 is an apocalyptic number.

137415524416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137415524416 is the 370696-th square number.

It is an amenable number.

137415524416 is a deficient number, since it is larger than the sum of its proper divisors (135274291773).

137415524416 is an frugal number, since it uses more digits than its factorization.

137415524416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92686 (or 46339 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The spelling of 137415524416 in words is "one hundred thirty-seven billion, four hundred fifteen million, five hundred twenty-four thousand, four hundred sixteen".