150561400320 has 960 divisors, whose sum is σ = 598416698880. Its totient is φ = 36086611968.

The previous prime is 150561400307. The next prime is 150561400331. The reversal of 150561400320 is 23004165051.

150561400320 is a `hidden beast` number, since 15 + 0 + 5 + 614 + 0 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×150561400320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 243232971 + ... + 243233589.

It is an arithmetic number, because the mean of its divisors is an integer number (623350728).

Almost surely, 2^150561400320 is an apocalyptic number.

150561400320 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 150561400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299208349440).

150561400320 is an abundant number, since it is smaller than the sum of its proper divisors (447855298560).

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

150561400320 is an equidigital number, since it uses as much as digits as its factorization.

150561400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 150561400320 its reverse (23004165051), we get a palindrome (173565565371).

The spelling of 150561400320 in words is "one hundred fifty billion, five hundred sixty-one million, four hundred thousand, three hundred twenty".