156538800 has 360 divisors, whose sum is σ = 611657280. Its totient is φ = 36748800.

The previous prime is 156538799. The next prime is 156538801. The reversal of 156538800 is 8835651.

It is an interprime number because it is at equal distance from previous prime (156538799) and next prime (156538801).

It is a tau number, because it is divible by the number of its divisors (360).

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 (156538801) 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 71 ways as a sum of consecutive naturals, for example, 2336367 + ... + 2336433.

It is an arithmetic number, because the mean of its divisors is an integer number (1699048).

Almost surely, 2^156538800 is an apocalyptic number.

156538800 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 156538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305828640).

156538800 is an abundant number, since it is smaller than the sum of its proper divisors (455118480).

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

156538800 is a wasteful number, since it uses less digits than its factorization.

156538800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 156538800 is about 12511.5466669793. The cubic root of 156538800 is about 538.9403086624.

The spelling of 156538800 in words is "one hundred fifty-six million, five hundred thirty-eight thousand, eight hundred".