150948956928 has 576 divisors, whose sum is σ = 512380108800. Its totient is φ = 38320128000.

The previous prime is 150948956903. The next prime is 150948956929. The reversal of 150948956928 is 829659849051.

It is a happy number.

150948956928 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (150948956929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 758537373 + ... + 758537571.

It is an arithmetic number, because the mean of its divisors is an integer number (889548800).

Almost surely, 2^150948956928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150948956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256190054400).

150948956928 is an abundant number, since it is smaller than the sum of its proper divisors (361431151872).

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

150948956928 is a wasteful number, since it uses less digits than its factorization.

150948956928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 66.

The spelling of 150948956928 in words is "one hundred fifty billion, nine hundred forty-eight million, nine hundred fifty-six thousand, nine hundred twenty-eight".