156900457728 has 864 divisors, whose sum is σ = 565690245120. Its totient is φ = 42430832640.

The previous prime is 156900457723. The next prime is 156900457771. The reversal of 156900457728 is 827754009651.

156900457728 is a `hidden beast` number, since 1 + 5 + 69 + 0 + 0 + 4 + 577 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (156900457723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 796448926 + ... + 796449122.

It is an arithmetic number, because the mean of its divisors is an integer number (654734080).

Almost surely, 2^156900457728 is an apocalyptic number.

156900457728 is a gapful number since it is divisible by the number (18) 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 156900457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282845122560).

156900457728 is an abundant number, since it is smaller than the sum of its proper divisors (408789787392).

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

156900457728 is an equidigital number, since it uses as much as digits as its factorization.

156900457728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 156900457728 in words is "one hundred fifty-six billion, nine hundred million, four hundred fifty-seven thousand, seven hundred twenty-eight".