146493900 has 288 divisors, whose sum is σ = 563297280. Its totient is φ = 31933440.

The previous prime is 146493889. The next prime is 146493917. The reversal of 146493900 is 9394641.

146493900 is a `hidden beast` number, since 1 + 4 + 649 + 3 + 9 + 0 + 0 = 666.

146493900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434532 + ... + 434868.

Almost surely, 2^146493900 is an apocalyptic number.

146493900 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 146493900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281648640).

146493900 is an abundant number, since it is smaller than the sum of its proper divisors (416803380).

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

146493900 is a wasteful number, since it uses less digits than its factorization.

146493900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 146493900 is about 12103.4664456097. The cubic root of 146493900 is about 527.1568412671.

The spelling of 146493900 in words is "one hundred forty-six million, four hundred ninety-three thousand, nine hundred".