134425767294 has 896 divisors, whose sum is σ = 423069696000. Its totient is φ = 31685955840.

The previous prime is 134425767293. The next prime is 134425767313. The reversal of 134425767294 is 492767524431.

134425767294 is a `hidden beast` number, since 1 + 3 + 4 + 42 + 576 + 7 + 29 + 4 = 666.

It is a super-3 number, since 3×134425767294³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10160640) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 134425767294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134425767293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 4336315059 + ... + 4336315089.

It is an arithmetic number, because the mean of its divisors is an integer number (472176000).

Almost surely, 2^134425767294 is an apocalyptic number.

134425767294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134425767294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211534848000).

134425767294 is an abundant number, since it is smaller than the sum of its proper divisors (288643928706).

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

134425767294 is a wasteful number, since it uses less digits than its factorization.

134425767294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 134425767294 in words is "one hundred thirty-four billion, four hundred twenty-five million, seven hundred sixty-seven thousand, two hundred ninety-four".