146263009620 has 288 divisors, whose sum is σ = 524982826368. Its totient is φ = 30141877248.

The previous prime is 146263009597. The next prime is 146263009727. The reversal of 146263009620 is 26900362641.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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, 1598962 + ... + 1687958.

It is an arithmetic number, because the mean of its divisors is an integer number (1822857036).

Almost surely, 2^146263009620 is an apocalyptic number.

146263009620 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 146263009620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262491413184).

146263009620 is an abundant number, since it is smaller than the sum of its proper divisors (378719816748).

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

146263009620 is a wasteful number, since it uses less digits than its factorization.

146263009620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89079 (or 89070 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 146263009620 in words is "one hundred forty-six billion, two hundred sixty-three million, nine thousand, six hundred twenty".