151008 has 72 divisors (see below), whose sum is σ = 469224. Its totient is φ = 42240.

The previous prime is 151007. The next prime is 151009. The reversal of 151008 is 800151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151007) and next prime (151009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11610 + ... + 11622.

It is an arithmetic number, because the mean of its divisors is an integer number (6517).

2¹⁵¹⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234612).

151008 is an abundant number, since it is smaller than the sum of its proper divisors (318216).

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

151008 is a wasteful number, since it uses less digits than its factorization.

151008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 151008 is about 388.5974781184. The cubic root of 151008 is about 53.2516806100.

Adding to 151008 its reverse (800151), we get a palindrome (951159).

The spelling of 151008 in words is "one hundred fifty-one thousand, eight".