146410000 has 125 divisors (see below), whose sum is σ = 389918155. Its totient is φ = 53240000.

The previous prime is 146409997. The next prime is 146410003. The reversal of 146410000 is 14641.

It is a happy number.

The square root of 146410000 is 12100.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (146409997) and next prime (146410003).

It can be written as a sum of positive squares in 2 ways, for example, as 11478544 + 134931456 = 3388^2 + 11616^2 .

It is a tau number, because it is divible by the number of its divisors (125).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (146410003) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 13309995 + ... + 13310005.

Almost surely, 2^146410000 is an apocalyptic number.

146410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146410000 is the 12100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146410000

146410000 is an abundant number, since it is smaller than the sum of its proper divisors (243508155).

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

146410000 is an frugal number, since it uses more digits than its factorization.

146410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The cubic root of 146410000 is about 527.0561842769.

Multiplying 146410000 by its sum of digits (16), we get a 4-th power (2342560000 = 220⁴).

146410000 divided by its sum of digits (16) gives a 4-th power (9150625 = 55⁴).

Adding to 146410000 its reverse (14641), we get a palindrome (146424641).

Multiplying 146410000 by its reverse (14641), we get a 4-th power (2143588810000 = 1210⁴).

146410000 divided by its reverse (14641) gives a 4-th power (10000 = 10⁴).

The spelling of 146410000 in words is "one hundred forty-six million, four hundred ten thousand".