150172344465000 has 1280 divisors, whose sum is σ = 559211854924800. Its totient is φ = 33115929600000.

The previous prime is 150172344464969. The next prime is 150172344465029. The reversal of 150172344465000 is 564443271051.

It is a super-2 number, since 2×150172344465000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 92756234191 + ... + 92756235809.

It is an arithmetic number, because the mean of its divisors is an integer number (436884261660).

Almost surely, 2^{150172344465000} is an apocalyptic number.

150172344465000 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 150172344465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279605927462400).

150172344465000 is an abundant number, since it is smaller than the sum of its proper divisors (409039510459800).

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

150172344465000 is a wasteful number, since it uses less digits than its factorization.

150172344465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 150172344465000 in words is "one hundred fifty trillion, one hundred seventy-two billion, three hundred forty-four million, four hundred sixty-five thousand".