134655272640 has 448 divisors, whose sum is σ = 543648107520. Its totient is φ = 30735728640.

The previous prime is 134655272629. The next prime is 134655272651. The reversal of 134655272640 is 46272556431.

134655272640 is a `hidden beast` number, since 1 + 3 + 4 + 65 + 527 + 2 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134655272629) and next prime (134655272651).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69732475 + ... + 69734405.

It is an arithmetic number, because the mean of its divisors is an integer number (1213500240).

Almost surely, 2^134655272640 is an apocalyptic number.

134655272640 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 134655272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271824053760).

134655272640 is an abundant number, since it is smaller than the sum of its proper divisors (408992834880).

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

134655272640 is a wasteful number, since it uses less digits than its factorization.

134655272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 134655272640 in words is "one hundred thirty-four billion, six hundred fifty-five million, two hundred seventy-two thousand, six hundred forty".