155914800 has 120 divisors (see below), whose sum is σ = 511790160. Its totient is φ = 40550400.

The previous prime is 155914751. The next prime is 155914807. The reversal of 155914800 is 8419551.

155914800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (155914807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47616 + ... + 50784.

It is an arithmetic number, because the mean of its divisors is an integer number (4264918).

Almost surely, 2^155914800 is an apocalyptic number.

155914800 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 155914800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255895080).

155914800 is an abundant number, since it is smaller than the sum of its proper divisors (355875360).

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

155914800 is a wasteful number, since it uses less digits than its factorization.

155914800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 155914800 is about 12486.5848012978. The cubic root of 155914800 is about 538.2232412862.

The spelling of 155914800 in words is "one hundred fifty-five million, nine hundred fourteen thousand, eight hundred".