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150351533136 = 243273112913727
BaseRepresentation
bin1000110000000110100…
…1100101010001010000
3112101002020221020200100
42030001221211101100
54430404443030021
6153023123052400
713601564642130
oct2140151452120
9471066836610
10150351533136
1158844580202
1225180511100
131124135142c
1473c433aac0
153d9e8bc626
hex2301a65450

150351533136 has 240 divisors, whose sum is σ = 496916512768. Its totient is φ = 41528505600.

The previous prime is 150351533107. The next prime is 150351533159. The reversal of 150351533136 is 631335153051.

150351533136 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 515 + 3 + 3 + 136 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 150351533136.

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 47 ways as a sum of consecutive naturals, for example, 40339305 + ... + 40343031.

Almost surely, 2150351533136 is an apocalyptic number.

150351533136 is a gapful number since it is divisible by the number (16) 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 150351533136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248458256384).

150351533136 is an abundant number, since it is smaller than the sum of its proper divisors (346564979632).

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

150351533136 is a wasteful number, since it uses less digits than its factorization.

150351533136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

Adding to 150351533136 its reverse (631335153051), we get a palindrome (781686686187).

The spelling of 150351533136 in words is "one hundred fifty billion, three hundred fifty-one million, five hundred thirty-three thousand, one hundred thirty-six".