134083510272 has 224 divisors, whose sum is σ = 408021891600. Its totient is φ = 43486543872.

The previous prime is 134083510261. The next prime is 134083510273. The reversal of 134083510272 is 272015380431.

134083510272 is a `hidden beast` number, since 1 + 3 + 40 + 83 + 510 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134083510273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3623878638 + ... + 3623878674.

Almost surely, 2^134083510272 is an apocalyptic number.

134083510272 is a gapful number since it is divisible by the number (12) 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 134083510272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204010945800).

134083510272 is an abundant number, since it is smaller than the sum of its proper divisors (273938381328).

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

134083510272 is an frugal number, since it uses more digits than its factorization.

134083510272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 134083510272 in words is "one hundred thirty-four billion, eighty-three million, five hundred ten thousand, two hundred seventy-two".