146201313420 has 192 divisors, whose sum is σ = 483893222400. Its totient is φ = 36519275520.

The previous prime is 146201313383. The next prime is 146201313439. The reversal of 146201313420 is 24313102641.

It is a happy number.

146201313420 is a `hidden beast` number, since 1 + 4 + 6 + 201 + 31 + 3 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1899241 + ... + 1974719.

It is an arithmetic number, because the mean of its divisors is an integer number (2520277200).

Almost surely, 2^146201313420 is an apocalyptic number.

146201313420 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 146201313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241946611200).

146201313420 is an abundant number, since it is smaller than the sum of its proper divisors (337691908980).

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

146201313420 is a wasteful number, since it uses less digits than its factorization.

146201313420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75725 (or 75717 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 146201313420 in words is "one hundred forty-six billion, two hundred one million, three hundred thirteen thousand, four hundred twenty".