150465949920 has 1536 divisors, whose sum is σ = 653207224320. Its totient is φ = 32248627200.

The previous prime is 150465949913. The next prime is 150465949943. The reversal of 150465949920 is 29949564051.

150465949920 is a `hidden beast` number, since 1 + 5 + 0 + 46 + 594 + 9 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1551195312 + ... + 1551195408.

It is an arithmetic number, because the mean of its divisors is an integer number (425265120).

Almost surely, 2^150465949920 is an apocalyptic number.

150465949920 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 150465949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326603612160).

150465949920 is an abundant number, since it is smaller than the sum of its proper divisors (502741274400).

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

150465949920 is a wasteful number, since it uses less digits than its factorization.

150465949920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 150465949920 in words is "one hundred fifty billion, four hundred sixty-five million, nine hundred forty-nine thousand, nine hundred twenty".