150806448720 has 240 divisors, whose sum is σ = 515863857600. Its totient is φ = 39474800640.

The previous prime is 150806448713. The next prime is 150806448757. The reversal of 150806448720 is 27844608051.

150806448720 is a `hidden beast` number, since 1 + 508 + 0 + 6 + 44 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 8898655 + ... + 8915585.

It is an arithmetic number, because the mean of its divisors is an integer number (2149432740).

Almost surely, 2^150806448720 is an apocalyptic number.

150806448720 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 150806448720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257931928800).

150806448720 is an abundant number, since it is smaller than the sum of its proper divisors (365057408880).

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

150806448720 is a wasteful number, since it uses less digits than its factorization.

150806448720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17178 (or 17169 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 150806448720 in words is "one hundred fifty billion, eight hundred six million, four hundred forty-eight thousand, seven hundred twenty".