134557770240 has 280 divisors, whose sum is σ = 483720349068. Its totient is φ = 35881574400.

The previous prime is 134557770239. The next prime is 134557770247. The reversal of 134557770240 is 42077755431.

134557770240 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 577 + 70 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126405847296 + 8151922944 = 355536^2 + 90288^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (134557770247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1830190 + ... + 1902290.

Almost surely, 2^134557770240 is an apocalyptic number.

134557770240 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 134557770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241860174534).

134557770240 is an abundant number, since it is smaller than the sum of its proper divisors (349162578828).

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

134557770240 is an frugal number, since it uses more digits than its factorization.

134557770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72142 (or 72111 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 134557770240 in words is "one hundred thirty-four billion, five hundred fifty-seven million, seven hundred seventy thousand, two hundred forty".