134523365469696 has 1920 divisors, whose sum is σ = 498498033369600. Its totient is φ = 35606784245760.

The previous prime is 134523365469679. The next prime is 134523365469721. The reversal of 134523365469696 is 696964563325431.

134523365469696 is a `hidden beast` number, since 1 + 3 + 4 + 52 + 3 + 365 + 46 + 96 + 96 = 666.

It is a super-2 number, since 2×134523365469696² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123077186526 + ... + 123077187618.

It is an arithmetic number, because the mean of its divisors is an integer number (259634392380).

Almost surely, 2^{134523365469696} is an apocalyptic number.

134523365469696 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 134523365469696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249249016684800).

134523365469696 is an abundant number, since it is smaller than the sum of its proper divisors (363974667899904).

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

134523365469696 is a wasteful number, since it uses less digits than its factorization.

134523365469696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1328 counting only the distinct ones).

The product of its digits is 2267481600, while the sum is 72.

The spelling of 134523365469696 in words is "one hundred thirty-four trillion, five hundred twenty-three billion, three hundred sixty-five million, four hundred sixty-nine thousand, six hundred ninety-six".