146372160000 has 800 divisors, whose sum is σ = 541198361088. Its totient is φ = 34846720000.

The previous prime is 146372159959. The next prime is 146372160013. The reversal of 146372160000 is 61273641.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a self number, because there is not a number n which added to its sum of digits gives 146372160000.

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, 876479917 + ... + 876480083.

Almost surely, 2^146372160000 is an apocalyptic number.

146372160000 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 146372160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270599180544).

146372160000 is an abundant number, since it is smaller than the sum of its proper divisors (394826201088).

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

146372160000 is an equidigital number, since it uses as much as digits as its factorization.

146372160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 146372160000 in words is "one hundred forty-six billion, three hundred seventy-two million, one hundred sixty thousand".