146816640 has 192 divisors, whose sum is σ = 515548800. Its totient is φ = 38492160.

The previous prime is 146816639. The next prime is 146816669. The reversal of 146816640 is 46618641.

146816640 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146816595 and 146816604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408781 + ... + 409139.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2^146816640 is an apocalyptic number.

146816640 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 146816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257774400).

146816640 is an abundant number, since it is smaller than the sum of its proper divisors (368732160).

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

146816640 is a wasteful number, since it uses less digits than its factorization.

146816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 146816640 is about 12116.7916545594. The cubic root of 146816640 is about 527.5436828825.

It can be divided in two parts, 146816 and 640, that added together give a square (147456 = 384²).

The spelling of 146816640 in words is "one hundred forty-six million, eight hundred sixteen thousand, six hundred forty".