1006135462134 has 48 divisors (see below), whose sum is σ = 2418445823040. Its totient is φ = 299721911280.

The previous prime is 1006135462127. The next prime is 1006135462153. The reversal of 1006135462134 is 4312645316001.

1006135462134 is a `hidden beast` number, since 1 + 0 + 0 + 61 + 3 + 5 + 462 + 134 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43051812 + ... + 43075175.

It is an arithmetic number, because the mean of its divisors is an integer number (50384287980).

Almost surely, 2^{1006135462134} is an apocalyptic number.

1006135462134 is an abundant number, since it is smaller than the sum of its proper divisors (1412310360906).

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

1006135462134 is a wasteful number, since it uses less digits than its factorization.

1006135462134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86127065 (or 86127062 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1006135462134 in words is "one trillion, six billion, one hundred thirty-five million, four hundred sixty-two thousand, one hundred thirty-four".