146107726128000 has 5120 divisors, whose sum is σ = 699085761454080. Its totient is φ = 29421497548800.

The previous prime is 146107726127999. The next prime is 146107726128029. The reversal of 146107726128000 is 821627701641.

146107726128000 is a `hidden beast` number, since 1 + 4 + 6 + 107 + 7 + 261 + 280 + 0 + 0 = 666.

146107726128000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 238348655694 + ... + 238348656306.

It is an arithmetic number, because the mean of its divisors is an integer number (136540187784).

Almost surely, 2^{146107726128000} is an apocalyptic number.

146107726128000 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 146107726128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349542880727040).

146107726128000 is an abundant number, since it is smaller than the sum of its proper divisors (552978035326080).

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

146107726128000 is a wasteful number, since it uses less digits than its factorization.

146107726128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 146107726128000 in words is "one hundred forty-six trillion, one hundred seven billion, seven hundred twenty-six million, one hundred twenty-eight thousand".