150214930145280 has 4032 divisors, whose sum is σ = 735520557058560. Its totient is φ = 27542610247680.

The previous prime is 150214930145233. The next prime is 150214930145281. The reversal of 150214930145280 is 82541039412051.

150214930145280 is a `hidden beast` number, since 1 + 5 + 0 + 21 + 4 + 9 + 301 + 45 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is not an unprimeable number, because it can be changed into a prime (150214930145281) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93359185116 + ... + 93359186724.

It is an arithmetic number, because the mean of its divisors is an integer number (182420773080).

Almost surely, 2^{150214930145280} is an apocalyptic number.

150214930145280 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 150214930145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367760278529280).

150214930145280 is an abundant number, since it is smaller than the sum of its proper divisors (585305626913280).

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

150214930145280 is a wasteful number, since it uses less digits than its factorization.

150214930145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 150214930145280 in words is "one hundred fifty trillion, two hundred fourteen billion, nine hundred thirty million, one hundred forty-five thousand, two hundred eighty".