137552406416 has 20 divisors (see below), whose sum is σ = 266852582172. Its totient is φ = 68687223936.

The previous prime is 137552406413. The next prime is 137552406443. The reversal of 137552406416 is 614604255731.

It can be written as a sum of positive squares in 2 ways, for example, as 52056985600 + 85495420816 = 228160^2 + 292396^2 .

It is not an unprimeable number, because it can be changed into a prime (137552406413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5548451 + ... + 5573186.

Almost surely, 2^137552406416 is an apocalyptic number.

137552406416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137552406416 is a deficient number, since it is larger than the sum of its proper divisors (129300175756).

137552406416 is a wasteful number, since it uses less digits than its factorization.

137552406416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122418 (or 11122412 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 137552406416 in words is "one hundred thirty-seven billion, five hundred fifty-two million, four hundred six thousand, four hundred sixteen".