134287135786440 has 768 divisors, whose sum is σ = 590273181792000. Its totient is φ = 26841891041280.

The previous prime is 134287135786429. The next prime is 134287135786567. The reversal of 134287135786440 is 44687531782431.

134287135786440 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 8 + 7 + 13 + 578 + 6 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 7934500 + ... + 18207980.

It is an arithmetic number, because the mean of its divisors is an integer number (768584872125).

Almost surely, 2^{134287135786440} is an apocalyptic number.

134287135786440 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 134287135786440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295136590896000).

134287135786440 is an abundant number, since it is smaller than the sum of its proper divisors (455986046005560).

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

134287135786440 is a wasteful number, since it uses less digits than its factorization.

134287135786440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10273547 (or 10273530 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 134287135786440 in words is "one hundred thirty-four trillion, two hundred eighty-seven billion, one hundred thirty-five million, seven hundred eighty-six thousand, four hundred forty".