150478020 has 432 divisors, whose sum is σ = 611331840. Its totient is φ = 30602880.

The previous prime is 150477959. The next prime is 150478021. The reversal of 150478020 is 20874051.

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

It is not an unprimeable number, because it can be changed into a prime (150478021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3201637 + ... + 3201683.

It is an arithmetic number, because the mean of its divisors is an integer number (1415120).

Almost surely, 2^150478020 is an apocalyptic number.

150478020 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 150478020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305665920).

150478020 is an abundant number, since it is smaller than the sum of its proper divisors (460853820).

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

150478020 is a wasteful number, since it uses less digits than its factorization.

150478020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 150478020 is about 12266.9482757530. The cubic root of 150478020 is about 531.8930994811.

It can be divided in two parts, 1504 and 78020, that added together give a square (79524 = 282²).

The spelling of 150478020 in words is "one hundred fifty million, four hundred seventy-eight thousand, twenty".