150150511420320 has 288 divisors, whose sum is σ = 491326292358720. Its totient is φ = 38542611824640.

The previous prime is 150150511420303. The next prime is 150150511420417. The reversal of 150150511420320 is 23024115051051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133056216 + ... + 134179944.

It is an arithmetic number, because the mean of its divisors is an integer number (1705994070690).

Almost surely, 2^{150150511420320} is an apocalyptic number.

150150511420320 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 150150511420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245663146179360).

150150511420320 is an abundant number, since it is smaller than the sum of its proper divisors (341175780938400).

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

150150511420320 is a wasteful number, since it uses less digits than its factorization.

150150511420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124136 (or 1124099 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 150150511420320 its reverse (23024115051051), we get a palindrome (173174626471371).

The spelling of 150150511420320 in words is "one hundred fifty trillion, one hundred fifty billion, five hundred eleven million, four hundred twenty thousand, three hundred twenty".