146168100 has 243 divisors, whose sum is σ = 512629299. Its totient is φ = 34819200.

The previous prime is 146168081. The next prime is 146168101. The reversal of 146168100 is 1861641.

146168100 = 1³ + 2³ + ... + 155³.

The square root of 146168100 is 12090.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37675044 + 108493056 = 6138^2 + 10416^2 .

It is a super-2 number, since 2×146168100² = 42730226915220000, which contains 22 as substring.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (146168101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4715085 + ... + 4715115.

Almost surely, 2^146168100 is an apocalyptic number.

146168100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146168100 is the 12090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146168100

146168100 is an abundant number, since it is smaller than the sum of its proper divisors (366461199).

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

146168100 is a wasteful number, since it uses less digits than its factorization.

146168100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 146168100 is about 526.7657551815.

The spelling of 146168100 in words is "one hundred forty-six million, one hundred sixty-eight thousand, one hundred".