134983965427600 has 45 divisors (see below), whose sum is σ = 324299535198163. Its totient is φ = 53993493224960.

The previous prime is 134983965427547. The next prime is 134983965427631. The reversal of 134983965427600 is 6724569389431.

The square root of 134983965427600 is 11618260.

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 16863933591184 + 118120031836416 = 4106572^2 + 10868304^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 232074744 + ... + 232655656.

It is a 1-persistent number, because it is pandigital, but 2⋅134983965427600 = 269967930855200 is not.

Almost surely, 2^{134983965427600} is an apocalyptic number.

134983965427600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134983965427600 is the 11618260-th square number.

It is an amenable number.

134983965427600 is an abundant number, since it is smaller than the sum of its proper divisors (189315569770563).

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

134983965427600 is an frugal number, since it uses more digits than its factorization.

134983965427600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161844 (or 580920 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 67.

The spelling of 134983965427600 in words is "one hundred thirty-four trillion, nine hundred eighty-three billion, nine hundred sixty-five million, four hundred twenty-seven thousand, six hundred".