155206800 has 240 divisors, whose sum is σ = 631646080. Its totient is φ = 35458560.

The previous prime is 155206789. The next prime is 155206841. The reversal of 155206800 is 8602551.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74574 + ... + 76626.

Almost surely, 2^155206800 is an apocalyptic number.

155206800 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 155206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315823040).

155206800 is an abundant number, since it is smaller than the sum of its proper divisors (476439280).

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

155206800 is a wasteful number, since it uses less digits than its factorization.

155206800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2070 counting only the distinct ones).

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

The square root of 155206800 is about 12458.2021174807. The cubic root of 155206800 is about 537.4073249270.

The spelling of 155206800 in words is "one hundred fifty-five million, two hundred six thousand, eight hundred".