146493360 has 400 divisors, whose sum is σ = 574713216. Its totient is φ = 34338816.

The previous prime is 146493359. The next prime is 146493409. The reversal of 146493360 is 63394641.

146493360 is a `hidden beast` number, since 1 + 4 + 649 + 3 + 3 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3116857 + ... + 3116903.

Almost surely, 2^146493360 is an apocalyptic number.

146493360 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 146493360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287356608).

146493360 is an abundant number, since it is smaller than the sum of its proper divisors (428219856).

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

146493360 is a wasteful number, since it uses less digits than its factorization.

146493360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 146493360 is about 12103.4441379303. Note that the first 3 decimals coincide. The cubic root of 146493360 is about 527.1561935381.

The spelling of 146493360 in words is "one hundred forty-six million, four hundred ninety-three thousand, three hundred sixty".