146730935520 has 576 divisors, whose sum is σ = 556311974400. Its totient is φ = 34983788544.

The previous prime is 146730935509. The next prime is 146730935537. The reversal of 146730935520 is 25539037641.

146730935520 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 3 + 0 + 93 + 552 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 241731057 + ... + 241731663.

It is an arithmetic number, because the mean of its divisors is an integer number (965819400).

Almost surely, 2^146730935520 is an apocalyptic number.

146730935520 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 146730935520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278155987200).

146730935520 is an abundant number, since it is smaller than the sum of its proper divisors (409581038880).

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

146730935520 is a wasteful number, since it uses less digits than its factorization.

146730935520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 146730935520 in words is "one hundred forty-six billion, seven hundred thirty million, nine hundred thirty-five thousand, five hundred twenty".