134632693508040 has 576 divisors, whose sum is σ = 560895049915200. Its totient is φ = 27745411728384.

The previous prime is 134632693508011. The next prime is 134632693508057. The reversal of 134632693508040 is 40805396236431.

134632693508040 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 3 + 2 + 6 + 93 + 508 + 0 + 40 = 666.

It is a super-2 number, since 2×134632693508040² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3034071 + ... + 16687449.

It is an arithmetic number, because the mean of its divisors is an integer number (973776128325).

Almost surely, 2^{134632693508040} is an apocalyptic number.

134632693508040 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 134632693508040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280447524957600).

134632693508040 is an abundant number, since it is smaller than the sum of its proper divisors (426262356407160).

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

134632693508040 is a wasteful number, since it uses less digits than its factorization.

134632693508040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13653466 (or 13653452 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 134632693508040 in words is "one hundred thirty-four trillion, six hundred thirty-two billion, six hundred ninety-three million, five hundred eight thousand, forty".