146361360 has 80 divisors (see below), whose sum is σ = 458470656. Its totient is φ = 38621184.

The previous prime is 146361331. The next prime is 146361373. The reversal of 146361360 is 63163641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20137 + ... + 26423.

Almost surely, 2^146361360 is an apocalyptic number.

146361360 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 146361360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229235328).

146361360 is an abundant number, since it is smaller than the sum of its proper divisors (312109296).

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

146361360 is a wasteful number, since it uses less digits than its factorization.

146361360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 146361360 is about 12097.9899156843. The cubic root of 146361360 is about 526.9978120067.

The spelling of 146361360 in words is "one hundred forty-six million, three hundred sixty-one thousand, three hundred sixty".