146193120 has 192 divisors, whose sum is σ = 524240640. Its totient is φ = 38029824.

The previous prime is 146193107. The next prime is 146193139. The reversal of 146193120 is 21391641.

146193120 is a `hidden beast` number, since 14 + 619 + 31 + 2 + 0 = 666.

146193120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185367 + ... + 186153.

It is an arithmetic number, because the mean of its divisors is an integer number (2730420).

Almost surely, 2^146193120 is an apocalyptic number.

146193120 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 146193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262120320).

146193120 is an abundant number, since it is smaller than the sum of its proper divisors (378047520).

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

146193120 is a wasteful number, since it uses less digits than its factorization.

146193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 146193120 is about 12091.0346951781. The cubic root of 146193120 is about 526.7958094529.

The spelling of 146193120 in words is "one hundred forty-six million, one hundred ninety-three thousand, one hundred twenty".