150984806400 has 936 divisors, whose sum is σ = 598928541120. Its totient is φ = 36160143360.

The previous prime is 150984806393. The next prime is 150984806429. The reversal of 150984806400 is 4608489051.

150984806400 is a `hidden beast` number, since 1 + 509 + 8 + 4 + 80 + 64 + 0 + 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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 360345391 + ... + 360345809.

It is an arithmetic number, because the mean of its divisors is an integer number (639880920).

Almost surely, 2^150984806400 is an apocalyptic number.

150984806400 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 150984806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299464270560).

150984806400 is an abundant number, since it is smaller than the sum of its proper divisors (447943734720).

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

150984806400 is a wasteful number, since it uses less digits than its factorization.

150984806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 150984806400 in words is "one hundred fifty billion, nine hundred eighty-four million, eight hundred six thousand, four hundred".