150208727760 has 1440 divisors, whose sum is σ = 658431072000. Its totient is φ = 30644490240.

The previous prime is 150208727759. The next prime is 150208727777. The reversal of 150208727760 is 67727802051.

150208727760 is a `hidden beast` number, since 1 + 502 + 0 + 8 + 72 + 7 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2462438130 + ... + 2462438190.

It is an arithmetic number, because the mean of its divisors is an integer number (457243800).

Almost surely, 2^150208727760 is an apocalyptic number.

150208727760 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 150208727760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329215536000).

150208727760 is an abundant number, since it is smaller than the sum of its proper divisors (508222344240).

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

150208727760 is a wasteful number, since it uses less digits than its factorization.

150208727760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 150208727760 in words is "one hundred fifty billion, two hundred eight million, seven hundred twenty-seven thousand, seven hundred sixty".