146927735640 has 384 divisors, whose sum is σ = 550031040000. Its totient is φ = 33320263680.

The previous prime is 146927735599. The next prime is 146927735641. The reversal of 146927735640 is 46537729641.

146927735640 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 2 + 7 + 73 + 564 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146927735641) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 294444111 + ... + 294444609.

It is an arithmetic number, because the mean of its divisors is an integer number (1432372500).

Almost surely, 2^146927735640 is an apocalyptic number.

146927735640 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 146927735640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275015520000).

146927735640 is an abundant number, since it is smaller than the sum of its proper divisors (403103304360).

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

146927735640 is a wasteful number, since it uses less digits than its factorization.

146927735640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 146927735640 in words is "one hundred forty-six billion, nine hundred twenty-seven million, seven hundred thirty-five thousand, six hundred forty".