151536100 has 27 divisors (see below), whose sum is σ = 329100681. Its totient is φ = 60565200.

The previous prime is 151536097. The next prime is 151536109. The reversal of 151536100 is 1635151.

The square root of 151536100 is 12310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54552996 + 96983104 = 7386^2 + 9848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151536109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 122485 + ... + 123715.

Almost surely, 2^151536100 is an apocalyptic number.

151536100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151536100 is the 12310-th square number.

It is an amenable number.

151536100 is an abundant number, since it is smaller than the sum of its proper divisors (177564581).

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

151536100 is an equidigital number, since it uses as much as digits as its factorization.

151536100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The cubic root of 151536100 is about 533.1368503665.

The spelling of 151536100 in words is "one hundred fifty-one million, five hundred thirty-six thousand, one hundred".