156456360 has 160 divisors (see below), whose sum is σ = 538575840. Its totient is φ = 40715136.

The previous prime is 156456359. The next prime is 156456361. The reversal of 156456360 is 63654651.

156456360 is a `hidden beast` number, since 1 + 5 + 645 + 6 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (156456359) and next prime (156456361).

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

It is not an unprimeable number, because it can be changed into a prime (156456361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138759 + ... + 139881.

It is an arithmetic number, because the mean of its divisors is an integer number (3366099).

Almost surely, 2^156456360 is an apocalyptic number.

156456360 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 156456360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269287920).

156456360 is an abundant number, since it is smaller than the sum of its proper divisors (382119480).

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

156456360 is a wasteful number, since it uses less digits than its factorization.

156456360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 156456360 is about 12508.2516763935. The cubic root of 156456360 is about 538.8456824080.

It can be divided in two parts, 156456 and 360, that added together give a square (156816 = 396²).

The spelling of 156456360 in words is "one hundred fifty-six million, four hundred fifty-six thousand, three hundred sixty".