134275620024 has 864 divisors, whose sum is σ = 501188688000. Its totient is φ = 33473067264.

The previous prime is 134275620019. The next prime is 134275620173. The reversal of 134275620024 is 420026572431.

134275620024 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 7 + 5 + 620 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 305866797 + ... + 305867235.

It is an arithmetic number, because the mean of its divisors is an integer number (580079500).

Almost surely, 2^134275620024 is an apocalyptic number.

134275620024 is a gapful number since it is divisible by the number (14) 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 134275620024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250594344000).

134275620024 is an abundant number, since it is smaller than the sum of its proper divisors (366913067976).

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

134275620024 is a wasteful number, since it uses less digits than its factorization.

134275620024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 483 counting only the distinct ones).

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

The spelling of 134275620024 in words is "one hundred thirty-four billion, two hundred seventy-five million, six hundred twenty thousand, twenty-four".