155890080 has 144 divisors (see below), whose sum is σ = 550466280. Its totient is φ = 40126464.

The previous prime is 155890069. The next prime is 155890081. The reversal of 155890080 is 80098551.

It can be written as a sum of positive squares in 4 ways, for example, as 129140496 + 26749584 = 11364^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (155890081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39894 + ... + 43626.

Almost surely, 2^155890080 is an apocalyptic number.

155890080 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 155890080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275233140).

155890080 is an abundant number, since it is smaller than the sum of its proper divisors (394576200).

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

155890080 is a wasteful number, since it uses less digits than its factorization.

155890080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 155890080 is about 12485.5948997234. The cubic root of 155890080 is about 538.1947950199.

The spelling of 155890080 in words is "one hundred fifty-five million, eight hundred ninety thousand, eighty".