• Deleting all the even digits from 2^{150} we obtain a prime of 21 digits.

• 150 can be written using four 4's:

150 has 12 divisors (see below), whose sum is σ = 372. Its totient is φ = 40.

The previous prime is 149. The next prime is 151. The reversal of 150 is 51.

150 is nontrivially palindromic in base 4, base 7 and base 14.

150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149) and next prime (151).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

150 is an undulating number in base 7.

150 is a nontrivial repdigit in base 14.

It is a plaindrome in base 8, base 11 and base 14.

It is a nialpdrome in base 5, base 6, base 13, base 14, base 15 and base 16.

It is a zygodrome in base 5 and base 14.

It is a congruent number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28 + ... + 32.

It is an arithmetic number, because the mean of its divisors is an integer number (31).

150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186).

150 is an abundant number, since it is smaller than the sum of its proper divisors (222).

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

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

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

The sum of its prime factors is 15 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 150 is about 12.2474487139. The cubic root of 150 is about 5.3132928459.

Subtracting from 150 its reverse (51), we obtain a palindrome (99).

The spelling of 150 in words is "one hundred fifty", and thus it is an aban number.

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