13758090456100 has 27 divisors (see below), whose sum is σ = 29855136779377. Its totient is φ = 5503221345680.

The previous prime is 13758090456079. The next prime is 13758090456101. The reversal of 13758090456100 is 165409085731.

The square root of 13758090456100 is 3709190.

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., 4952912564196 + 8805177891904 = 2225514^2 + 2967352^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13758090456101) 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, 36906441 + ... + 37277359.

Almost surely, 2^{13758090456100} is an apocalyptic number.

13758090456100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13758090456100 is the 3709190-th square number.

It is an amenable number.

13758090456100 is an abundant number, since it is smaller than the sum of its proper divisors (16097046323277).

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

13758090456100 is an frugal number, since it uses more digits than its factorization.

13758090456100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741852 (or 370926 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

Multiplying 13758090456100 by its sum of digits (49), we get a square (674146432348900 = 25964330²).

The spelling of 13758090456100 in words is "thirteen trillion, seven hundred fifty-eight billion, ninety million, four hundred fifty-six thousand, one hundred".