150653644800 has 624 divisors, whose sum is σ = 535306095360. Its totient is φ = 37265080320.

The previous prime is 150653644793. The next prime is 150653644829. The reversal of 150653644800 is 8446356051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309350157 + ... + 309350643.

Almost surely, 2^150653644800 is an apocalyptic number.

150653644800 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 150653644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267653047680).

150653644800 is an abundant number, since it is smaller than the sum of its proper divisors (384652450560).

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

150653644800 is a wasteful number, since it uses less digits than its factorization.

150653644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

It can be divided in two parts, 15065 and 3644800, that added together give a triangular number (3659865 = T₂₇₀₅).

The spelling of 150653644800 in words is "one hundred fifty billion, six hundred fifty-three million, six hundred forty-four thousand, eight hundred".