156105828 has 72 divisors (see below), whose sum is σ = 403393536. Its totient is φ = 50889600.

The previous prime is 156105827. The next prime is 156105841. The reversal of 156105828 is 828501651.

156105828 is a `hidden beast` number, since 15 + 61 + 0 + 582 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 156105792 and 156105801.

It is not an unprimeable number, because it can be changed into a prime (156105827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501793 + ... + 502103.

It is an arithmetic number, because the mean of its divisors is an integer number (5602688).

Almost surely, 2^156105828 is an apocalyptic number.

156105828 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 156105828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201696768).

156105828 is an abundant number, since it is smaller than the sum of its proper divisors (247287708).

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

156105828 is a wasteful number, since it uses less digits than its factorization.

156105828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 156105828 is about 12494.2317891097. The cubic root of 156105828 is about 538.4429633132.

The spelling of 156105828 in words is "one hundred fifty-six million, one hundred five thousand, eight hundred twenty-eight".