134128350720 has 2160 divisors, whose sum is σ = 632571722640. Its totient is φ = 26085556224.

The previous prime is 134128350703. The next prime is 134128350737. The reversal of 134128350720 is 27053821431.

134128350720 is a `hidden beast` number, since 1 + 3 + 4 + 128 + 3 + 507 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (134128350703) and next prime (134128350737).

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

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3625090542 + ... + 3625090578.

It is an arithmetic number, because the mean of its divisors is an integer number (292857279).

Almost surely, 2^134128350720 is an apocalyptic number.

134128350720 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 134128350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316285861320).

134128350720 is an abundant number, since it is smaller than the sum of its proper divisors (498443371920).

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

134128350720 is a wasteful number, since it uses less digits than its factorization.

134128350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 134128350720 in words is "one hundred thirty-four billion, one hundred twenty-eight million, three hundred fifty thousand, seven hundred twenty".