153265140 has 108 divisors (see below), whose sum is σ = 540838116. Its totient is φ = 35030016.

The previous prime is 153265129. The next prime is 153265157. The reversal of 153265140 is 41562351.

153265140 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 651 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28451556 + 124813584 = 5334^2 + 11172^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132 + ... + 17508.

Almost surely, 2^153265140 is an apocalyptic number.

153265140 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 153265140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270419058).

153265140 is an abundant number, since it is smaller than the sum of its proper divisors (387572976).

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

153265140 is a wasteful number, since it uses less digits than its factorization.

153265140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17406 (or 17394 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 153265140 is about 12380.0298868783. The cubic root of 153265140 is about 535.1568992753.

The spelling of 153265140 in words is "one hundred fifty-three million, two hundred sixty-five thousand, one hundred forty".