146025190080 has 1008 divisors, whose sum is σ = 671065724160. Its totient is φ = 28740096000.

The previous prime is 146025190063. The next prime is 146025190111. The reversal of 146025190080 is 80091520641.

146025190080 is a `hidden beast` number, since 1 + 4 + 60 + 2 + 519 + 0 + 0 + 80 = 666.

146025190080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×146025190080² (a number of 23 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 29491605 + ... + 29496555.

Almost surely, 2^146025190080 is an apocalyptic number.

146025190080 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 146025190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335532862080).

146025190080 is an abundant number, since it is smaller than the sum of its proper divisors (525040534080).

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

146025190080 is a wasteful number, since it uses less digits than its factorization.

146025190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 146025190080 in words is "one hundred forty-six billion, twenty-five million, one hundred ninety thousand, eighty".