134432517240 has 384 divisors, whose sum is σ = 523592424000. Its totient is φ = 30590493696.

The previous prime is 134432517239. The next prime is 134432517253. The reversal of 134432517240 is 42715234431.

134432517240 is a `hidden beast` number, since 1 + 3 + 443 + 2 + 5 + 172 + 40 = 666.

134432517240 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 = 134432517195 and 134432517204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12113134 + ... + 12124226.

Almost surely, 2^134432517240 is an apocalyptic number.

134432517240 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 134432517240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261796212000).

134432517240 is an abundant number, since it is smaller than the sum of its proper divisors (389159906760).

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

134432517240 is a wasteful number, since it uses less digits than its factorization.

134432517240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11356 (or 11339 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 134432517240 in words is "one hundred thirty-four billion, four hundred thirty-two million, five hundred seventeen thousand, two hundred forty".