151281504 has 216 divisors, whose sum is σ = 506476152. Its totient is φ = 42332160.

The previous prime is 151281479. The next prime is 151281509. The reversal of 151281504 is 405182151.

151281504 is a `hidden beast` number, since 151 + 2 + 8 + 1 + 504 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151281509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2854342 + ... + 2854394.

It is an arithmetic number, because the mean of its divisors is an integer number (2344797).

Almost surely, 2^151281504 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 151281504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253238076).

151281504 is an abundant number, since it is smaller than the sum of its proper divisors (355194648).

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

151281504 is a wasteful number, since it uses less digits than its factorization.

151281504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 151281504 is about 12299.6546292975. The cubic root of 151281504 is about 532.8381083583.

The spelling of 151281504 in words is "one hundred fifty-one million, two hundred eighty-one thousand, five hundred four".