155340800 has 156 divisors (see below), whose sum is σ = 405257916. Its totient is φ = 58982400.

The previous prime is 155340739. The next prime is 155340803. The reversal of 155340800 is 8043551.

It can be written as a sum of positive squares in 6 ways, for example, as 5914624 + 149426176 = 2432^2 + 12224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 155340800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155340803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3788780 + ... + 3788820.

Almost surely, 2^155340800 is an apocalyptic number.

155340800 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 155340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202628958).

155340800 is an abundant number, since it is smaller than the sum of its proper divisors (249917116).

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

155340800 is an equidigital number, since it uses as much as digits as its factorization.

155340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 155340800 is about 12463.5789402563. The cubic root of 155340800 is about 537.5619398603.

The spelling of 155340800 in words is "one hundred fifty-five million, three hundred forty thousand, eight hundred".