146553995952 has 1120 divisors, whose sum is σ = 567716441600. Its totient is φ = 35765743104.

The previous prime is 146553995899. The next prime is 146553995977. The reversal of 146553995952 is 259599355641.

It is a happy number.

146553995952 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 5 + 39 + 9 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 146553995952.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3408232443 + ... + 3408232485.

It is an arithmetic number, because the mean of its divisors is an integer number (506889680).

Almost surely, 2^146553995952 is an apocalyptic number.

146553995952 is a gapful number since it is divisible by the number (12) 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 146553995952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283858220800).

146553995952 is an abundant number, since it is smaller than the sum of its proper divisors (421162445648).

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

146553995952 is an equidigital number, since it uses as much as digits as its factorization.

146553995952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 87 counting only the distinct ones).

The product of its digits is 65610000, while the sum is 63.

The spelling of 146553995952 in words is "one hundred forty-six billion, five hundred fifty-three million, nine hundred ninety-five thousand, nine hundred fifty-two".