150195071090688 has 1216 divisors, whose sum is σ = 464319438815232. Its totient is φ = 42854630031360.

The previous prime is 150195071090639. The next prime is 150195071090693. The reversal of 150195071090688 is 886090170591051.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1403692253131 + ... + 1403692253237.

Almost surely, 2^{150195071090688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150195071090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232159719407616).

150195071090688 is an abundant number, since it is smaller than the sum of its proper divisors (314124367724544).

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

150195071090688 is a wasteful number, since it uses less digits than its factorization.

150195071090688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 60.

The spelling of 150195071090688 in words is "one hundred fifty trillion, one hundred ninety-five billion, seventy-one million, ninety thousand, six hundred eighty-eight".