134032001310240 has 384 divisors, whose sum is σ = 466185473252352. Its totient is φ = 32097438904320.

The previous prime is 134032001310209. The next prime is 134032001310271. The reversal of 134032001310240 is 42013100230431.

It is a happy number.

134032001310240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134032001310209) and next prime (134032001310271).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134032001310240.

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, 6918485194 + ... + 6918504566.

It is an arithmetic number, because the mean of its divisors is an integer number (1214024669928).

Almost surely, 2^{134032001310240} is an apocalyptic number.

134032001310240 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 134032001310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233092736626176).

134032001310240 is an abundant number, since it is smaller than the sum of its proper divisors (332153471942112).

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

134032001310240 is a wasteful number, since it uses less digits than its factorization.

134032001310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35272 (or 35264 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 134032001310240 its reverse (42013100230431), we get a palindrome (176045101540671).

The spelling of 134032001310240 in words is "one hundred thirty-four trillion, thirty-two billion, one million, three hundred ten thousand, two hundred forty".