134091721440 has 576 divisors, whose sum is σ = 497243178432. Its totient is φ = 32779468800.

The previous prime is 134091721433. The next prime is 134091721441. The reversal of 134091721440 is 44127190431.

134091721440 is a `hidden beast` number, since 1 + 3 + 40 + 9 + 172 + 1 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 134091721395 and 134091721404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134091721441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234836355 + ... + 234836925.

It is an arithmetic number, because the mean of its divisors is an integer number (863269407).

Almost surely, 2^134091721440 is an apocalyptic number.

134091721440 is a gapful number since it is divisible by the number (10) 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 134091721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248621589216).

134091721440 is an abundant number, since it is smaller than the sum of its proper divisors (363151456992).

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

134091721440 is a wasteful number, since it uses less digits than its factorization.

134091721440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 134091721440 in words is "one hundred thirty-four billion, ninety-one million, seven hundred twenty-one thousand, four hundred forty".