150578820 has 144 divisors (see below), whose sum is σ = 526675968. Its totient is φ = 34110720.

The previous prime is 150578807. The next prime is 150578837. The reversal of 150578820 is 28875051.

150578820 is a `hidden beast` number, since 1 + 5 + 0 + 578 + 82 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 159550 + ... + 160490.

It is an arithmetic number, because the mean of its divisors is an integer number (3657472).

Almost surely, 2^150578820 is an apocalyptic number.

150578820 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 150578820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263337984).

150578820 is an abundant number, since it is smaller than the sum of its proper divisors (376097148).

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

150578820 is a wasteful number, since it uses less digits than its factorization.

150578820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 150578820 is about 12271.0561892610. The cubic root of 150578820 is about 532.0118385441.

The spelling of 150578820 in words is "one hundred fifty million, five hundred seventy-eight thousand, eight hundred twenty".