146681407664100 has 405 divisors, whose sum is σ = 488815794413793. Its totient is φ = 38047414659840.

The previous prime is 146681407664087. The next prime is 146681407664117. The reversal of 146681407664100 is 1466704186641.

The square root of 146681407664100 is 12111210.

It is a perfect power (a square), and thus also a powerful number.

146681407664100 is a `hidden beast` number, since 1 + 4 + 66 + 81 + 407 + 66 + 41 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 115698290866596 + 30983116797504 = 10756314^2 + 5566248^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 40330327482 + ... + 40330331118.

Almost surely, 2^{146681407664100} is an apocalyptic number.

146681407664100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146681407664100 is the 12111210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146681407664100

146681407664100 is an abundant number, since it is smaller than the sum of its proper divisors (342134386749693).

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

146681407664100 is an frugal number, since it uses more digits than its factorization.

146681407664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 146681407664100 in words is "one hundred forty-six trillion, six hundred eighty-one billion, four hundred seven million, six hundred sixty-four thousand, one hundred".