146361807360 has 640 divisors, whose sum is σ = 553657420800. Its totient is φ = 36648714240.

The previous prime is 146361807359. The next prime is 146361807367. The reversal of 146361807360 is 63708163641.

146361807360 is a `hidden beast` number, since 1 + 4 + 636 + 1 + 8 + 0 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (146361807367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339586345 + ... + 339586775.

It is an arithmetic number, because the mean of its divisors is an integer number (865089720).

Almost surely, 2^146361807360 is an apocalyptic number.

146361807360 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 146361807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276828710400).

146361807360 is an abundant number, since it is smaller than the sum of its proper divisors (407295613440).

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

146361807360 is an frugal number, since it uses more digits than its factorization.

146361807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 146361807360 in words is "one hundred forty-six billion, three hundred sixty-one million, eight hundred seven thousand, three hundred sixty".