150580080 has 320 divisors, whose sum is σ = 619960320. Its totient is φ = 32845824.

The previous prime is 150580043. The next prime is 150580091. The reversal of 150580080 is 80085051.

150580080 is a `hidden beast` number, since 1 + 5 + 0 + 580 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347544 + ... + 347976.

It is an arithmetic number, because the mean of its divisors is an integer number (1937376).

Almost surely, 2^150580080 is an apocalyptic number.

150580080 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 150580080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309980160).

150580080 is an abundant number, since it is smaller than the sum of its proper divisors (469380240).

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

150580080 is a wasteful number, since it uses less digits than its factorization.

150580080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 150580080 is about 12271.1075294775. The cubic root of 150580080 is about 532.0133224470.

The spelling of 150580080 in words is "one hundred fifty million, five hundred eighty thousand, eighty".