13149616537600 has 153 divisors (see below), whose sum is σ = 32622315322323. Its totient is φ = 5257989980160.

The previous prime is 13149616537553. The next prime is 13149616537661. The reversal of 13149616537600 is 673561694131.

The square root of 13149616537600 is 3626240.

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

It can be written as a sum of positive squares in 4 ways, for example, as 806030475264 + 12343586062336 = 897792^2 + 3513344^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4641585784 + ... + 4641588616.

Almost surely, 2^{13149616537600} is an apocalyptic number.

13149616537600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13149616537600 is the 3626240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13149616537600

13149616537600 is an abundant number, since it is smaller than the sum of its proper divisors (19472698784723).

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

13149616537600 is an frugal number, since it uses more digits than its factorization.

13149616537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 52.

The spelling of 13149616537600 in words is "thirteen trillion, one hundred forty-nine billion, six hundred sixteen million, five hundred thirty-seven thousand, six hundred".