146121600 has 192 divisors, whose sum is σ = 497825280. Its totient is φ = 37632000.

The previous prime is 146121559. The next prime is 146121617. The reversal of 146121600 is 6121641.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×146121600³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 297355 + ... + 297845.

It is an arithmetic number, because the mean of its divisors is an integer number (2592840).

Almost surely, 2^146121600 is an apocalyptic number.

146121600 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 146121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248912640).

146121600 is an abundant number, since it is smaller than the sum of its proper divisors (351703680).

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

146121600 is a wasteful number, since it uses less digits than its factorization.

146121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 146121600 is about 12088.0767701070. The cubic root of 146121600 is about 526.7098898102.

The spelling of 146121600 in words is "one hundred forty-six million, one hundred twenty-one thousand, six hundred".