134500141440 has 512 divisors, whose sum is σ = 561982464000. Its totient is φ = 29750353920.

The previous prime is 134500141423. The next prime is 134500141487. The reversal of 134500141440 is 44141005431.

134500141440 is a `hidden beast` number, since 1 + 3 + 4 + 500 + 14 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 3731826 + ... + 3767694.

It is an arithmetic number, because the mean of its divisors is an integer number (1097622000).

Almost surely, 2^134500141440 is an apocalyptic number.

134500141440 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 134500141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280991232000).

134500141440 is an abundant number, since it is smaller than the sum of its proper divisors (427482322560).

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

134500141440 is a wasteful number, since it uses less digits than its factorization.

134500141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35935 (or 35917 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 134500141440 its reverse (44141005431), we get a palindrome (178641146871).

The spelling of 134500141440 in words is "one hundred thirty-four billion, five hundred million, one hundred forty-one thousand, four hundred forty".