150101352000 has 336 divisors, whose sum is σ = 542280037104. Its totient is φ = 39628800000.

The previous prime is 150101351999. The next prime is 150101352053. The reversal of 150101352000 is 253101051.

150101352000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 34756890624 + 115344461376 = 186432^2 + 339624^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7261680 + ... + 7282320.

Almost surely, 2^150101352000 is an apocalyptic number.

150101352000 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 150101352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271140018552).

150101352000 is an abundant number, since it is smaller than the sum of its proper divisors (392178685104).

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

150101352000 is a wasteful number, since it uses less digits than its factorization.

150101352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20775 (or 20752 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 150101352000 its reverse (253101051), we get a palindrome (150354453051).

The spelling of 150101352000 in words is "one hundred fifty billion, one hundred one million, three hundred fifty-two thousand".