150208020 has 144 divisors (see below), whose sum is σ = 488237568. Its totient is φ = 38724480.

The previous prime is 150207997. The next prime is 150208027. The reversal of 150208020 is 20802051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 150207984 and 150208002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150208027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150162 + ... + 151158.

Almost surely, 2^150208020 is an apocalyptic number.

150208020 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 150208020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244118784).

150208020 is an abundant number, since it is smaller than the sum of its proper divisors (338029548).

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

150208020 is a wasteful number, since it uses less digits than its factorization.

150208020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 150208020 is about 12255.9381525855. The cubic root of 150208020 is about 531.5747869560.

The spelling of 150208020 in words is "one hundred fifty million, two hundred eight thousand, twenty".