134495431741440 has 4992 divisors, whose sum is σ = 652150592409600. Its totient is φ = 25474026700800.

The previous prime is 134495431741399. The next prime is 134495431741477. The reversal of 134495431741440 is 44147134594431.

134495431741440 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 9 + 543 + 17 + 41 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 777430241194 + ... + 777430241366.

Almost surely, 2^{134495431741440} is an apocalyptic number.

134495431741440 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 134495431741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326075296204800).

134495431741440 is an abundant number, since it is smaller than the sum of its proper divisors (517655160668160).

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

134495431741440 is a wasteful number, since it uses less digits than its factorization.

134495431741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 134495431741440 in words is "one hundred thirty-four trillion, four hundred ninety-five billion, four hundred thirty-one million, seven hundred forty-one thousand, four hundred forty".