134515013001440 has 96 divisors (see below), whose sum is σ = 320328327158784. Its totient is φ = 53376617226240.

The previous prime is 134515013001403. The next prime is 134515013001443. The reversal of 134515013001440 is 44100310515431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 134515013001397 and 134515013001406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134515013001443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191897672 + ... + 192597368.

It is an arithmetic number, because the mean of its divisors is an integer number (3336753407904).

Almost surely, 2^{134515013001440} is an apocalyptic number.

134515013001440 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 134515013001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160164163579392).

134515013001440 is an abundant number, since it is smaller than the sum of its proper divisors (185813314157344).

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

134515013001440 is a wasteful number, since it uses less digits than its factorization.

134515013001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709300 (or 709292 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 134515013001440 its reverse (44100310515431), we get a palindrome (178615323516871).

The spelling of 134515013001440 in words is "one hundred thirty-four trillion, five hundred fifteen billion, thirteen million, one thousand, four hundred forty".