151590852 has 120 divisors (see below), whose sum is σ = 458599680. Its totient is φ = 42768000.

The previous prime is 151590847. The next prime is 151590869. The reversal of 151590852 is 258095151.

It is a happy number.

151590852 is a `hidden beast` number, since 1 + 515 + 90 + 8 + 52 = 666.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 201477 + ... + 202227.

It is an arithmetic number, because the mean of its divisors is an integer number (3821664).

Almost surely, 2^151590852 is an apocalyptic number.

151590852 is a gapful number since it is divisible by the number (12) 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 151590852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229299840).

151590852 is an abundant number, since it is smaller than the sum of its proper divisors (307008828).

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

151590852 is a wasteful number, since it uses less digits than its factorization.

151590852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 151590852 is about 12312.2236821786. The cubic root of 151590852 is about 533.2010524366.

The spelling of 151590852 in words is "one hundred fifty-one million, five hundred ninety thousand, eight hundred fifty-two".