150420984000 has 672 divisors, whose sum is σ = 593569738944. Its totient is φ = 33443020800.

The previous prime is 150420983983. The next prime is 150420984013. The reversal of 150420984000 is 489024051.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43510272 + ... + 43513728.

It is an arithmetic number, because the mean of its divisors is an integer number (883288302).

Almost surely, 2^150420984000 is an apocalyptic number.

150420984000 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 150420984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296784869472).

150420984000 is an abundant number, since it is smaller than the sum of its proper divisors (443148754944).

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

150420984000 is a wasteful number, since it uses less digits than its factorization.

150420984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 150420984000 in words is "one hundred fifty billion, four hundred twenty million, nine hundred eighty-four thousand".