146215238400 has 2268 divisors, whose sum is σ = 700048260016. Its totient is φ = 29561241600.

The previous prime is 146215238357. The next prime is 146215238401. The reversal of 146215238400 is 4832512641.

It is a happy number.

146215238400 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 15 + 238 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

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 (146215238401) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 3951763182 + ... + 3951763218.

Almost surely, 2^146215238400 is an apocalyptic number.

146215238400 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 146215238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350024130008).

146215238400 is an abundant number, since it is smaller than the sum of its proper divisors (553833021616).

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

146215238400 is an equidigital number, since it uses as much as digits as its factorization.

146215238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 146215238400 in words is "one hundred forty-six billion, two hundred fifteen million, two hundred thirty-eight thousand, four hundred".