134015343111936 has 1152 divisors, whose sum is σ = 481213835182080. Its totient is φ = 36232029388800.

The previous prime is 134015343111931. The next prime is 134015343111959. The reversal of 134015343111936 is 639111343510431.

134015343111936 is a `hidden beast` number, since 1 + 3 + 40 + 1 + 534 + 31 + 1 + 19 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×134015343111936² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134015343111891 and 134015343111900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134015343111931) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29629744171 + ... + 29629748693.

It is an arithmetic number, because the mean of its divisors is an integer number (417720343040).

Almost surely, 2^{134015343111936} is an apocalyptic number.

134015343111936 is a gapful number since it is divisible by the number (16) 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 134015343111936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240606917591040).

134015343111936 is an abundant number, since it is smaller than the sum of its proper divisors (347198492070144).

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

134015343111936 is a wasteful number, since it uses less digits than its factorization.

134015343111936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 134015343111936 in words is "one hundred thirty-four trillion, fifteen billion, three hundred forty-three million, one hundred eleven thousand, nine hundred thirty-six".