146555200 has 126 divisors (see below), whose sum is σ = 396904718. Its totient is φ = 53222400.

The previous prime is 146555179. The next prime is 146555219. The reversal of 146555200 is 2555641.

It can be written as a sum of positive squares in 3 ways, for example, as 13660416 + 132894784 = 3696^2 + 11528^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 193222 + ... + 193978.

Almost surely, 2^146555200 is an apocalyptic number.

146555200 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 146555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198452359).

146555200 is an abundant number, since it is smaller than the sum of its proper divisors (250349518).

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

146555200 is a wasteful number, since it uses less digits than its factorization.

146555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 146555200 is about 12105.9985131339. The cubic root of 146555200 is about 527.2303601601.

It can be divided in two parts, 1465 and 55200, that added together give a palindrome (56665).

The spelling of 146555200 in words is "one hundred forty-six million, five hundred fifty-five thousand, two hundred".