151503300 has 216 divisors, whose sum is σ = 534590784. Its totient is φ = 35608320.

The previous prime is 151503259. The next prime is 151503307. The reversal of 151503300 is 3305151.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (151503307) 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 71 ways as a sum of consecutive naturals, for example, 268819 + ... + 269381.

Almost surely, 2^151503300 is an apocalyptic number.

151503300 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 151503300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267295392).

151503300 is an abundant number, since it is smaller than the sum of its proper divisors (383087484).

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

151503300 is a wasteful number, since it uses less digits than its factorization.

151503300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 151503300 is about 12308.6676776977. The cubic root of 151503300 is about 533.0983817540.

Adding to 151503300 its reverse (3305151), we get a palindrome (154808451).

It can be divided in two parts, 15150 and 3300, that multiplied together give a triangular number (49995000 = T₉₉₉₉).

The spelling of 151503300 in words is "one hundred fifty-one million, five hundred three thousand, three hundred".