150482442240 has 1152 divisors, whose sum is σ = 604436152320. Its totient is φ = 34334834688.

The previous prime is 150482442211. The next prime is 150482442289. The reversal of 150482442240 is 42244284051.

150482442240 is a `hidden beast` number, since 150 + 4 + 82 + 4 + 422 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 150482442195 and 150482442204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184901057 + ... + 1184901183.

It is an arithmetic number, because the mean of its divisors is an integer number (524684160).

Almost surely, 2^150482442240 is an apocalyptic number.

150482442240 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 150482442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302218076160).

150482442240 is an abundant number, since it is smaller than the sum of its proper divisors (453953710080).

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

150482442240 is a wasteful number, since it uses less digits than its factorization.

150482442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 150482442240 in words is "one hundred fifty billion, four hundred eighty-two million, four hundred forty-two thousand, two hundred forty".