134956180900 has 72 divisors (see below), whose sum is σ = 296557347240. Its totient is φ = 53303408640.

The previous prime is 134956180867. The next prime is 134956180903. The reversal of 134956180900 is 9081659431.

It can be written as a sum of positive squares in 12 ways, for example, as 2770127424 + 132186053476 = 52632^2 + 363574^2 .

It is a super-2 number, since 2×134956180900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134956180903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3172572 + ... + 3214828.

It is an arithmetic number, because the mean of its divisors is an integer number (4118852045).

Almost surely, 2^134956180900 is an apocalyptic number.

134956180900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134956180900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148278673620).

134956180900 is an abundant number, since it is smaller than the sum of its proper divisors (161601166340).

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

134956180900 is a wasteful number, since it uses less digits than its factorization.

134956180900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42673 (or 42666 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 134956180900 in words is "one hundred thirty-four billion, nine hundred fifty-six million, one hundred eighty thousand, nine hundred".