155268000 has 288 divisors, whose sum is σ = 582603840. Its totient is φ = 39052800.

The previous prime is 155267971. The next prime is 155268031. The reversal of 155268000 is 862551.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683887 + ... + 684113.

It is an arithmetic number, because the mean of its divisors is an integer number (2022930).

Almost surely, 2^155268000 is an apocalyptic number.

155268000 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 155268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291301920).

155268000 is an abundant number, since it is smaller than the sum of its proper divisors (427335840).

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

155268000 is a wasteful number, since it uses less digits than its factorization.

155268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 155268000 is about 12460.6580885602. The cubic root of 155268000 is about 537.4779511417.

The spelling of 155268000 in words is "one hundred fifty-five million, two hundred sixty-eight thousand".