146151962880 has 864 divisors, whose sum is σ = 596830405248. Its totient is φ = 30140006400.

The previous prime is 146151962833. The next prime is 146151962923. The reversal of 146151962880 is 88269151641.

It is a happy 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, 498812014 + ... + 498812306.

It is an arithmetic number, because the mean of its divisors is an integer number (690775932).

Almost surely, 2^146151962880 is an apocalyptic number.

146151962880 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 146151962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298415202624).

146151962880 is an abundant number, since it is smaller than the sum of its proper divisors (450678442368).

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

146151962880 is a wasteful number, since it uses less digits than its factorization.

146151962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 146151962880 in words is "one hundred forty-six billion, one hundred fifty-one million, nine hundred sixty-two thousand, eight hundred eighty".