134134140672 has 576 divisors, whose sum is σ = 464156098560. Its totient is φ = 37421346816.

The previous prime is 134134140671. The next prime is 134134140677. The reversal of 134134140672 is 276041431431.

134134140672 is a `hidden beast` number, since 134 + 13 + 41 + 406 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×134134140672³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134134140671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510015613 + ... + 510015875.

It is an arithmetic number, because the mean of its divisors is an integer number (805826560).

Almost surely, 2^134134140672 is an apocalyptic number.

134134140672 is a gapful number since it is divisible by the number (12) 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 134134140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232078049280).

134134140672 is an abundant number, since it is smaller than the sum of its proper divisors (330021957888).

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

134134140672 is a wasteful number, since it uses less digits than its factorization.

134134140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 134134140672 in words is "one hundred thirty-four billion, one hundred thirty-four million, one hundred forty thousand, six hundred seventy-two".