156448320 has 224 divisors, whose sum is σ = 586776576. Its totient is φ = 34560000.

The previous prime is 156448307. The next prime is 156448381. The reversal of 156448320 is 23844651.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 207945 + ... + 208695.

Almost surely, 2^156448320 is an apocalyptic number.

156448320 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 156448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293388288).

156448320 is an abundant number, since it is smaller than the sum of its proper divisors (430328256).

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

156448320 is a wasteful number, since it uses less digits than its factorization.

156448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 156448320 is about 12507.9302844236. The cubic root of 156448320 is about 538.8364521590.

The spelling of 156448320 in words is "one hundred fifty-six million, four hundred forty-eight thousand, three hundred twenty".