146728649340 has 1152 divisors, whose sum is σ = 610944768000. Its totient is φ = 28518137856.

The previous prime is 146728649311. The next prime is 146728649341. The reversal of 146728649340 is 43946827641.

146728649340 is a `hidden beast` number, since 1 + 4 + 6 + 72 + 86 + 493 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146728649341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 640736346 + ... + 640736574.

It is an arithmetic number, because the mean of its divisors is an integer number (530334000).

Almost surely, 2^146728649340 is an apocalyptic number.

146728649340 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 146728649340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305472384000).

146728649340 is an abundant number, since it is smaller than the sum of its proper divisors (464216118660).

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

146728649340 is a wasteful number, since it uses less digits than its factorization.

146728649340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 146728649340 in words is "one hundred forty-six billion, seven hundred twenty-eight million, six hundred forty-nine thousand, three hundred forty".