153135540 has 36 divisors (see below), whose sum is σ = 464511684. Its totient is φ = 40836096.

The previous prime is 153135529. The next prime is 153135547. The reversal of 153135540 is 45531351.

It can be written as a sum of positive squares in 2 ways, for example, as 94245264 + 58890276 = 9708^2 + 7674^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×153135540² = 46900987222183200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153135547) 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 11 ways as a sum of consecutive naturals, for example, 425197 + ... + 425556.

Almost surely, 2^153135540 is an apocalyptic number.

153135540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153135540 is an abundant number, since it is smaller than the sum of its proper divisors (311376144).

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

153135540 is a wasteful number, since it uses less digits than its factorization.

153135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850768 (or 850763 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 153135540 is about 12374.7945437490. The cubic root of 153135540 is about 535.0060150137.

Adding to 153135540 its reverse (45531351), we get a palindrome (198666891).

The spelling of 153135540 in words is "one hundred fifty-three million, one hundred thirty-five thousand, five hundred forty".