134052427440 has 320 divisors, whose sum is σ = 469105153920. Its totient is φ = 35619803136.

The previous prime is 134052427427. The next prime is 134052427451. The reversal of 134052427440 is 44724250431.

134052427440 is a `hidden beast` number, since 1 + 3 + 405 + 242 + 7 + 4 + 4 + 0 = 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 = 134052427395 and 134052427404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55461112 + ... + 55463528.

It is an arithmetic number, because the mean of its divisors is an integer number (1465953606).

Almost surely, 2^134052427440 is an apocalyptic number.

134052427440 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 134052427440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234552576960).

134052427440 is an abundant number, since it is smaller than the sum of its proper divisors (335052726480).

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

134052427440 is an equidigital number, since it uses as much as digits as its factorization.

134052427440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 134052427440 its reverse (44724250431), we get a palindrome (178776677871).

The spelling of 134052427440 in words is "one hundred thirty-four billion, fifty-two million, four hundred twenty-seven thousand, four hundred forty".