153728683146 has 48 divisors (see below), whose sum is σ = 345023976960. Its totient is φ = 49409892000.

The previous prime is 153728683133. The next prime is 153728683151. The reversal of 153728683146 is 641386827351.

153728683146 is a `hidden beast` number, since 1 + 537 + 2 + 8 + 68 + 3 + 1 + 46 = 666.

153728683146 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 153728683092 and 153728683101.

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, 195951 + ... + 588093.

It is an arithmetic number, because the mean of its divisors is an integer number (7187999520).

Almost surely, 2^153728683146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153728683146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172511988480).

153728683146 is an abundant number, since it is smaller than the sum of its proper divisors (191295293814).

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

153728683146 is a wasteful number, since it uses less digits than its factorization.

153728683146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392931 (or 392928 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 153728683146 in words is "one hundred fifty-three billion, seven hundred twenty-eight million, six hundred eighty-three thousand, one hundred forty-six".