150135810 has 64 divisors (see below), whose sum is σ = 394257024. Its totient is φ = 36288000.

The previous prime is 150135767. The next prime is 150135829. The reversal of 150135810 is 18531051.

150135810 = T₂₃₀₉ + T₂₃₁₀ + ... + T₂₃₆₃.

It is a super-2 number, since 2×150135810² = 45081522888712200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 197952 + ... + 198708.

It is an arithmetic number, because the mean of its divisors is an integer number (6160266).

Almost surely, 2^150135810 is an apocalyptic number.

150135810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150135810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197128512).

150135810 is an abundant number, since it is smaller than the sum of its proper divisors (244121214).

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

150135810 is a wasteful number, since it uses less digits than its factorization.

150135810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379.

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 150135810 is about 12252.9918795370. The cubic root of 150135810 is about 531.4895913985.

Adding to 150135810 its reverse (18531051), we get a palindrome (168666861).

The spelling of 150135810 in words is "one hundred fifty million, one hundred thirty-five thousand, eight hundred ten".