150162001920 has 624 divisors, whose sum is σ = 599071654272. Its totient is φ = 34080030720.

The previous prime is 150162001919. The next prime is 150162001937. The reversal of 150162001920 is 29100261051.

150162001920 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 620 + 0 + 19 + 20 = 666.

It is a congruent number.

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, 233533119 + ... + 233533761.

It is an arithmetic number, because the mean of its divisors is an integer number (960050728).

Almost surely, 2^150162001920 is an apocalyptic number.

150162001920 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 150162001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299535827136).

150162001920 is an abundant number, since it is smaller than the sum of its proper divisors (448909652352).

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

150162001920 is a wasteful number, since it uses less digits than its factorization.

150162001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 150162001920 its reverse (29100261051), we get a palindrome (179262262971).

The spelling of 150162001920 in words is "one hundred fifty billion, one hundred sixty-two million, one thousand, nine hundred twenty".