156300040 has 64 divisors (see below), whose sum is σ = 401027760. Its totient is φ = 54312960.

The previous prime is 156300017. The next prime is 156300049. The reversal of 156300040 is 40003651.

156300040 = 3221² + 3222² + ... + 3235².

156300040 is a nontrivial binomial coefficient, being equal to C(17681, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 42536484 + 113763556 = 6522^2 + 10666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 156299990 and 156300017.

It is not an unprimeable number, because it can be changed into a prime (156300049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 17680.

Almost surely, 2^156300040 is an apocalyptic number.

156300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

156300040 is the 17680-th triangular number.

156300040 is the 5894-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200513880).

156300040 is an abundant number, since it is smaller than the sum of its proper divisors (244727720).

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

156300040 is a wasteful number, since it uses less digits than its factorization.

156300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17722 (or 17718 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 156300040 is about 12502.0014397696. The cubic root of 156300040 is about 538.6661639241. Note that the first 3 decimals are identical.

Adding to 156300040 its reverse (40003651), we get a palindrome (196303691).

The spelling of 156300040 in words is "one hundred fifty-six million, three hundred thousand, forty".