13537910772100 has 729 divisors, whose sum is σ = 36570540427407. Its totient is φ = 4344623712000.

The previous prime is 13537910772047. The next prime is 13537910772137. The reversal of 13537910772100 is 127701973531.

The square root of 13537910772100 is 3679390.

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 3489416528004 + 10048494244096 = 1867998^2 + 3169936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 163107358659 + ... + 163107358741.

Almost surely, 2^{13537910772100} is an apocalyptic number.

13537910772100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13537910772100 is the 3679390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13537910772100

13537910772100 is an abundant number, since it is smaller than the sum of its proper divisors (23032629655307).

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

13537910772100 is a wasteful number, since it uses less digits than its factorization.

13537910772100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 46.

The spelling of 13537910772100 in words is "thirteen trillion, five hundred thirty-seven billion, nine hundred ten million, seven hundred seventy-two thousand, one hundred".