134815371264 has 624 divisors, whose sum is σ = 484131348480. Its totient is φ = 35274424320.

The previous prime is 134815371259. The next prime is 134815371277. The reversal of 134815371264 is 462173518431.

134815371264 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 15 + 371 + 264 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 151989829 + ... + 151990715.

It is an arithmetic number, because the mean of its divisors is an integer number (775851520).

Almost surely, 2^134815371264 is an apocalyptic number.

134815371264 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 134815371264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242065674240).

134815371264 is an abundant number, since it is smaller than the sum of its proper divisors (349315977216).

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

134815371264 is a wasteful number, since it uses less digits than its factorization.

134815371264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 949 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

Adding to 134815371264 its reverse (462173518431), we get a palindrome (596988889695).

The spelling of 134815371264 in words is "one hundred thirty-four billion, eight hundred fifteen million, three hundred seventy-one thousand, two hundred sixty-four".