153006540 has 96 divisors (see below), whose sum is σ = 438949056. Its totient is φ = 39813120.

The previous prime is 153006533. The next prime is 153006541. The reversal of 153006540 is 45600351.

153006540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153006540² = 46822002565543200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153006540.

It is not an unprimeable number, because it can be changed into a prime (153006541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792684 + ... + 792876.

It is an arithmetic number, because the mean of its divisors is an integer number (4572386).

Almost surely, 2^153006540 is an apocalyptic number.

153006540 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 153006540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219474528).

153006540 is an abundant number, since it is smaller than the sum of its proper divisors (285942516).

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

153006540 is a wasteful number, since it uses less digits than its factorization.

153006540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 153006540 is about 12369.5812378593. The cubic root of 153006540 is about 534.8557447272.

Adding to 153006540 its reverse (45600351), we get a palindrome (198606891).

The spelling of 153006540 in words is "one hundred fifty-three million, six thousand, five hundred forty".