134834246820 has 432 divisors, whose sum is σ = 507941546112. Its totient is φ = 28347770880.

The previous prime is 134834246809. The next prime is 134834246831. The reversal of 134834246820 is 28642438431.

It is a happy number.

134834246820 is a `hidden beast` number, since 13 + 483 + 42 + 46 + 82 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134834246809) and next prime (134834246831).

It is a super-2 number, since 2×134834246820² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70482184 + ... + 70484096.

It is an arithmetic number, because the mean of its divisors is an integer number (1175790616).

Almost surely, 2^134834246820 is an apocalyptic number.

134834246820 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 134834246820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253970773056).

134834246820 is an abundant number, since it is smaller than the sum of its proper divisors (373107299292).

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

134834246820 is a wasteful number, since it uses less digits than its factorization.

134834246820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 134834246820 in words is "one hundred thirty-four billion, eight hundred thirty-four million, two hundred forty-six thousand, eight hundred twenty".