146385100620 has 432 divisors, whose sum is σ = 530378634240. Its totient is φ = 32532192000.

The previous prime is 146385100591. The next prime is 146385100621. The reversal of 146385100620 is 26001583641.

It is a happy number.

146385100620 is a `hidden beast` number, since 1 + 4 + 638 + 5 + 10 + 0 + 6 + 2 + 0 = 666.

146385100620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (146385100621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12822715 + ... + 12834125.

It is an arithmetic number, because the mean of its divisors is an integer number (1227728320).

Almost surely, 2^146385100620 is an apocalyptic number.

146385100620 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 146385100620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265189317120).

146385100620 is an abundant number, since it is smaller than the sum of its proper divisors (383993533620).

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

146385100620 is a wasteful number, since it uses less digits than its factorization.

146385100620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11498 (or 11482 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 146385100620 in words is "one hundred forty-six billion, three hundred eighty-five million, one hundred thousand, six hundred twenty".