151005000 has 80 divisors (see below), whose sum is σ = 471786480. Its totient is φ = 40264000.

The previous prime is 151004977. The next prime is 151005007. The reversal of 151005000 is 500151.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (151005007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9967 + ... + 20033.

It is an arithmetic number, because the mean of its divisors is an integer number (5897331).

Almost surely, 2^151005000 is an apocalyptic number.

151005000 is a gapful number since it is divisible by the number (10) 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 151005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235893240).

151005000 is an abundant number, since it is smaller than the sum of its proper divisors (320781480).

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

151005000 is a wasteful number, since it uses less digits than its factorization.

151005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10096 (or 10077 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 151005000 is about 12288.4091728751. The cubic root of 151005000 is about 532.5132796618.

Adding to 151005000 its reverse (500151), we get a palindrome (151505151).

It can be divided in two parts, 15100 and 5000, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 151005000 in words is "one hundred fifty-one million, five thousand".