151334100 has 108 divisors (see below), whose sum is σ = 477482460. Its totient is φ = 40089600.

The previous prime is 151334081. The next prime is 151334111. The reversal of 151334100 is 1433151.

It can be written as a sum of positive squares in 6 ways, for example, as 78641424 + 72692676 = 8868^2 + 8526^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 162436 + ... + 163364.

Almost surely, 2^151334100 is an apocalyptic number.

151334100 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 151334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238741230).

151334100 is an abundant number, since it is smaller than the sum of its proper divisors (326148360).

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

151334100 is a wasteful number, since it uses less digits than its factorization.

151334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 151334100 is about 12301.7925523072. The cubic root of 151334100 is about 532.8998517643.

Adding to 151334100 its reverse (1433151), we get a palindrome (152767251).

The spelling of 151334100 in words is "one hundred fifty-one million, three hundred thirty-four thousand, one hundred".