155038800 has 120 divisors (see below), whose sum is σ = 567620416. Its totient is φ = 35435520.

The previous prime is 155038789. The next prime is 155038823. The reversal of 155038800 is 8830551.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829 + ... + 17628.

Almost surely, 2^155038800 is an apocalyptic number.

155038800 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 155038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283810208).

155038800 is an abundant number, since it is smaller than the sum of its proper divisors (412581616).

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

155038800 is a wasteful number, since it uses less digits than its factorization.

155038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18485 (or 18474 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 155038800 is about 12451.4577459830. The cubic root of 155038800 is about 537.2133535597.

The spelling of 155038800 in words is "one hundred fifty-five million, thirty-eight thousand, eight hundred".