134629309440 has 528 divisors, whose sum is σ = 486853567200. Its totient is φ = 35672555520.

The previous prime is 134629309433. The next prime is 134629309457. The reversal of 134629309440 is 44903926431.

134629309440 is a `hidden beast` number, since 13 + 4 + 629 + 3 + 0 + 9 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×134629309440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299842336 + ... + 299842784.

It is an arithmetic number, because the mean of its divisors is an integer number (922071150).

Almost surely, 2^134629309440 is an apocalyptic number.

134629309440 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 134629309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243426783600).

134629309440 is an abundant number, since it is smaller than the sum of its proper divisors (352224257760).

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

134629309440 is an equidigital number, since it uses as much as digits as its factorization.

134629309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 134629309440 in words is "one hundred thirty-four billion, six hundred twenty-nine million, three hundred nine thousand, four hundred forty".