150135840 has 144 divisors (see below), whose sum is σ = 542564568. Its totient is φ = 37675008.

The previous prime is 150135829. The next prime is 150135841. The reversal of 150135840 is 48531051.

It can be written as a sum of positive squares in 4 ways, for example, as 150111504 + 24336 = 12252^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (150135841) 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 23 ways as a sum of consecutive naturals, for example, 21414 + ... + 27546.

Almost surely, 2^150135840 is an apocalyptic number.

150135840 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 150135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271282284).

150135840 is an abundant number, since it is smaller than the sum of its proper divisors (392428728).

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

150135840 is a wasteful number, since it uses less digits than its factorization.

150135840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 150135840 is about 12252.9931037278. The cubic root of 150135840 is about 531.4896267991.

Adding to 150135840 its reverse (48531051), we get a palindrome (198666891).

It can be divided in two parts, 150135 and 840, that added together give a triangular number (150975 = T₅₄₉).

The spelling of 150135840 in words is "one hundred fifty million, one hundred thirty-five thousand, eight hundred forty".