146694037875840 has 1920 divisors, whose sum is σ = 684928867392000. Its totient is φ = 29129922183168.

The previous prime is 146694037875797. The next prime is 146694037875863. The reversal of 146694037875840 is 48578730496641.

146694037875840 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 9 + 4 + 0 + 37 + 8 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1363286361 + ... + 1363393959.

It is an arithmetic number, because the mean of its divisors is an integer number (356733785100).

Almost surely, 2^{146694037875840} is an apocalyptic number.

146694037875840 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 146694037875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342464433696000).

146694037875840 is an abundant number, since it is smaller than the sum of its proper divisors (538234829516160).

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

146694037875840 is a wasteful number, since it uses less digits than its factorization.

146694037875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107684 (or 107646 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 146694037875840 in words is "one hundred forty-six trillion, six hundred ninety-four billion, thirty-seven million, eight hundred seventy-five thousand, eight hundred forty".