135696456900 has 135 divisors (see below), whose sum is σ = 439981800951. Its totient is φ = 36176880960.

The previous prime is 135696456881. The next prime is 135696456911. The reversal of 135696456900 is 9654696531.

The square root of 135696456900 is 368370.

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

135696456900 is a `hidden beast` number, since 13 + 5 + 6 + 9 + 64 + 569 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6924569796 + 128771887104 = 83214^2 + 358848^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×135696456900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33151254 + ... + 33155346.

Almost surely, 2^135696456900 is an apocalyptic number.

135696456900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135696456900 is the 368370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135696456900

135696456900 is an abundant number, since it is smaller than the sum of its proper divisors (304285344051).

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

135696456900 is an frugal number, since it uses more digits than its factorization.

135696456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8212 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 135696456900 in words is "one hundred thirty-five billion, six hundred ninety-six million, four hundred fifty-six thousand, nine hundred".