156349440 has 440 divisors, whose sum is σ = 624171240. Its totient is φ = 37158912.

The previous prime is 156349439. The next prime is 156349451. The reversal of 156349440 is 44943651.

156349440 is a `hidden beast` number, since 1 + 563 + 4 + 94 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 153363456 = 1728^2 + 12384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 156349395 and 156349404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391346 + ... + 5391374.

It is an arithmetic number, because the mean of its divisors is an integer number (1418571).

Almost surely, 2^156349440 is an apocalyptic number.

156349440 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 156349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312085620).

156349440 is an abundant number, since it is smaller than the sum of its proper divisors (467821800).

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

156349440 is a wasteful number, since it uses less digits than its factorization.

156349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 156349440 is about 12503.9769673492. The cubic root of 156349440 is about 538.7229080033.

The spelling of 156349440 in words is "one hundred fifty-six million, three hundred forty-nine thousand, four hundred forty".