150303746640 has 160 divisors (see below), whose sum is σ = 479948781312. Its totient is φ = 38886912000.

The previous prime is 150303746629. The next prime is 150303746641. The reversal of 150303746640 is 46647303051.

150303746640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×150303746640³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150303746641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1738845 + ... + 1823235.

Almost surely, 2^150303746640 is an apocalyptic number.

150303746640 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 150303746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239974390656).

150303746640 is an abundant number, since it is smaller than the sum of its proper divisors (329645034672).

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

150303746640 is a wasteful number, since it uses less digits than its factorization.

150303746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84629 (or 84623 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 150303746640 in words is "one hundred fifty billion, three hundred three million, seven hundred forty-six thousand, six hundred forty".