134414979840 has 432 divisors, whose sum is σ = 495036360000. Its totient is φ = 33556267008.

The previous prime is 134414979827. The next prime is 134414979847. The reversal of 134414979840 is 48979414431.

134414979840 is a `hidden beast` number, since 1 + 34 + 41 + 497 + 9 + 84 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (134414979847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38970436 + ... + 38973884.

It is an arithmetic number, because the mean of its divisors is an integer number (1145917500).

Almost surely, 2^134414979840 is an apocalyptic number.

134414979840 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 134414979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247518180000).

134414979840 is an abundant number, since it is smaller than the sum of its proper divisors (360621380160).

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

134414979840 is a wasteful number, since it uses less digits than its factorization.

134414979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 134414979840 in words is "one hundred thirty-four billion, four hundred fourteen million, nine hundred seventy-nine thousand, eight hundred forty".