146050861320 has 768 divisors, whose sum is σ = 610523136000. Its totient is φ = 30404035584.

The previous prime is 146050861283. The next prime is 146050861339. The reversal of 146050861320 is 23168050641.

It is a happy number.

146050861320 is a `hidden beast` number, since 1 + 4 + 60 + 508 + 61 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100932837 + ... + 100934283.

It is an arithmetic number, because the mean of its divisors is an integer number (794952000).

Almost surely, 2^146050861320 is an apocalyptic number.

146050861320 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 146050861320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305261568000).

146050861320 is an abundant number, since it is smaller than the sum of its proper divisors (464472274680).

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

146050861320 is a wasteful number, since it uses less digits than its factorization.

146050861320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1556 counting only the distinct ones).

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

The spelling of 146050861320 in words is "one hundred forty-six billion, fifty million, eight hundred sixty-one thousand, three hundred twenty".