155313600 has 336 divisors, whose sum is σ = 582046080. Its totient is φ = 35942400.

The previous prime is 155313563. The next prime is 155313607. The reversal of 155313600 is 6313551.

155313600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155313607) 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 47 ways as a sum of consecutive naturals, for example, 1185535 + ... + 1185665.

It is an arithmetic number, because the mean of its divisors is an integer number (1732280).

Almost surely, 2^155313600 is an apocalyptic number.

155313600 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 155313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291023040).

155313600 is an abundant number, since it is smaller than the sum of its proper divisors (426732480).

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

155313600 is a wasteful number, since it uses less digits than its factorization.

155313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 155313600 is about 12462.4877131334. The cubic root of 155313600 is about 537.5305625311.

The spelling of 155313600 in words is "one hundred fifty-five million, three hundred thirteen thousand, six hundred".