146040840 has 256 divisors, whose sum is σ = 559872000. Its totient is φ = 33488640.

The previous prime is 146040827. The next prime is 146040847. The reversal of 146040840 is 48040641.

146040840 is a `hidden beast` number, since 14 + 604 + 0 + 8 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (146040847) 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, 225397 + ... + 226043.

It is an arithmetic number, because the mean of its divisors is an integer number (2187000).

Almost surely, 2^146040840 is an apocalyptic number.

146040840 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 146040840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279936000).

146040840 is an abundant number, since it is smaller than the sum of its proper divisors (413831160).

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

146040840 is a wasteful number, since it uses less digits than its factorization.

146040840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 146040840 is about 12084.7358266534. The cubic root of 146040840 is about 526.6128361012.

The spelling of 146040840 in words is "one hundred forty-six million, forty thousand, eight hundred forty".