150263820 has 144 divisors (see below), whose sum is σ = 537858048. Its totient is φ = 33229440.

The previous prime is 150263791. The next prime is 150263873. The reversal of 150263820 is 28362051.

150263820 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 638 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37137 + ... + 40983.

Almost surely, 2^150263820 is an apocalyptic number.

150263820 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 150263820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268929024).

150263820 is an abundant number, since it is smaller than the sum of its proper divisors (387594228).

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

150263820 is a wasteful number, since it uses less digits than its factorization.

150263820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 150263820 is about 12258.2143887273. The cubic root of 150263820 is about 531.6406027957.

The spelling of 150263820 in words is "one hundred fifty million, two hundred sixty-three thousand, eight hundred twenty".