150309694080 has 384 divisors, whose sum is σ = 638818427520. Its totient is φ = 31713583104.

The previous prime is 150309694061. The next prime is 150309694091. The reversal of 150309694080 is 80496903051.

It is a happy number.

150309694080 is a `hidden beast` number, since 1 + 503 + 0 + 9 + 69 + 4 + 0 + 80 = 666.

150309694080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 380779 + ... + 667541.

It is an arithmetic number, because the mean of its divisors is an integer number (1663589655).

Almost surely, 2^150309694080 is an apocalyptic number.

150309694080 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 150309694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319409213760).

150309694080 is an abundant number, since it is smaller than the sum of its proper divisors (488508733440).

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

150309694080 is a wasteful number, since it uses less digits than its factorization.

150309694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286808 (or 286793 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 150309694080 in words is "one hundred fifty billion, three hundred nine million, six hundred ninety-four thousand, eighty".