14135870452900 has 135 divisors (see below), whose sum is σ = 35789847107651. Its totient is φ = 4845952513920.

The previous prime is 14135870452883. The next prime is 14135870452903. The reversal of 14135870452900 is 925407853141.

It is a happy number.

The square root of 14135870452900 is 3759770.

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 736905316 + 14135133547584 = 27146^2 + 3759672^2 .

It is a super-2 number, since 2×14135870452900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (14135870452903) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1842283464 + ... + 1842291136.

Almost surely, 2^{14135870452900} is an apocalyptic number.

14135870452900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14135870452900 is the 3759770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14135870452900

14135870452900 is an abundant number, since it is smaller than the sum of its proper divisors (21653976654751).

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

14135870452900 is an frugal number, since it uses more digits than its factorization.

14135870452900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15388 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 14135870452900 by its sum of digits (49), we get a square (692657652192100 = 26318390²).

14135870452900 divided by its sum of digits (49) gives a square (288487152100 = 537110²).

The spelling of 14135870452900 in words is "fourteen trillion, one hundred thirty-five billion, eight hundred seventy million, four hundred fifty-two thousand, nine hundred".