134515390464 has 864 divisors, whose sum is σ = 498790656000. Its totient is φ = 34159656960.

The previous prime is 134515390439. The next prime is 134515390487. The reversal of 134515390464 is 464093515431.

134515390464 is a `hidden beast` number, since 1 + 3 + 4 + 51 + 53 + 90 + 464 = 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 71 ways as a sum of consecutive naturals, for example, 675956637 + ... + 675956835.

It is an arithmetic number, because the mean of its divisors is an integer number (577304000).

Almost surely, 2^134515390464 is an apocalyptic number.

134515390464 is a gapful number since it is divisible by the number (14) 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 134515390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249395328000).

134515390464 is an abundant number, since it is smaller than the sum of its proper divisors (364275265536).

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

134515390464 is a wasteful number, since it uses less digits than its factorization.

134515390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 134515390464 in words is "one hundred thirty-four billion, five hundred fifteen million, three hundred ninety thousand, four hundred sixty-four".