134816009040 has 640 divisors, whose sum is σ = 489625804800. Its totient is φ = 34062612480.

The previous prime is 134816009021. The next prime is 134816009057. The reversal of 134816009040 is 40900618431.

134816009040 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 1 + 600 + 9 + 0 + 40 = 666.

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 = 134816008986 and 134816009004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 827091999 + ... + 827092161.

It is an arithmetic number, because the mean of its divisors is an integer number (765040320).

Almost surely, 2^134816009040 is an apocalyptic number.

134816009040 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 134816009040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244812902400).

134816009040 is an abundant number, since it is smaller than the sum of its proper divisors (354809795760).

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

134816009040 is a wasteful number, since it uses less digits than its factorization.

134816009040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 134816009040 in words is "one hundred thirty-four billion, eight hundred sixteen million, nine thousand, forty".