146240640 has 640 divisors, whose sum is σ = 663505920. Its totient is φ = 29859840.

The previous prime is 146240629. The next prime is 146240651. The reversal of 146240640 is 46042641.

146240640 is a `hidden beast` number, since 14 + 6 + 2 + 4 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (146240629) and next prime (146240651).

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 (27).

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, 4717425 + ... + 4717455.

It is an arithmetic number, because the mean of its divisors is an integer number (1036728).

Almost surely, 2^146240640 is an apocalyptic number.

146240640 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 146240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331752960).

146240640 is an abundant number, since it is smaller than the sum of its proper divisors (517265280).

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

146240640 is a wasteful number, since it uses less digits than its factorization.

146240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 146240640 is about 12092.9996278839. Note that the first 3 decimals coincide. The cubic root of 146240640 is about 526.8528815071.

The spelling of 146240640 in words is "one hundred forty-six million, two hundred forty thousand, six hundred forty".