146753088768 has 972 divisors, whose sum is σ = 530070585408. Its totient is φ = 40176414720.

The previous prime is 146753088767. The next prime is 146753088793. The reversal of 146753088768 is 867880357641.

146753088768 is a `hidden beast` number, since 1 + 467 + 5 + 30 + 8 + 87 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146753088767) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3122406121 + ... + 3122406167.

Almost surely, 2^146753088768 is an apocalyptic number.

146753088768 is a gapful number since it is divisible by the number (18) 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 146753088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265035292704).

146753088768 is an abundant number, since it is smaller than the sum of its proper divisors (383317496640).

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

146753088768 is an frugal number, since it uses more digits than its factorization.

146753088768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 146753088768 in words is "one hundred forty-six billion, seven hundred fifty-three million, eighty-eight thousand, seven hundred sixty-eight".