150671664000 has 1536 divisors, whose sum is σ = 661674424320. Its totient is φ = 33592320000.

The previous prime is 150671663993. The next prime is 150671664047. The reversal of 150671664000 is 466176051.

150671664000 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 7 + 1 + 6 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 555983865 + ... + 555984135.

It is an arithmetic number, because the mean of its divisors is an integer number (430777620).

Almost surely, 2^150671664000 is an apocalyptic number.

150671664000 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 150671664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330837212160).

150671664000 is an abundant number, since it is smaller than the sum of its proper divisors (511002760320).

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

150671664000 is a wasteful number, since it uses less digits than its factorization.

150671664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 150671664000 in words is "one hundred fifty billion, six hundred seventy-one million, six hundred sixty-four thousand".