146406105504 has 240 divisors, whose sum is σ = 455638296960. Its totient is φ = 46021409280.

The previous prime is 146406105473. The next prime is 146406105539. The reversal of 146406105504 is 405501604641.

146406105504 is a `hidden beast` number, since 1 + 4 + 6 + 40 + 6 + 105 + 504 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 4215442 + ... + 4250030.

It is an arithmetic number, because the mean of its divisors is an integer number (1898492904).

Almost surely, 2^146406105504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146406105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227819148480).

146406105504 is an abundant number, since it is smaller than the sum of its proper divisors (309232191456).

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

146406105504 is a wasteful number, since it uses less digits than its factorization.

146406105504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34705 (or 34688 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 146406105504 in words is "one hundred forty-six billion, four hundred six million, one hundred five thousand, five hundred four".