153540240 has 80 divisors (see below), whose sum is σ = 543977088. Its totient is φ = 35094528.

The previous prime is 153540223. The next prime is 153540307. The reversal of 153540240 is 42045351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×153540240⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 153540240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44017 + ... + 47376.

Almost surely, 2^153540240 is an apocalyptic number.

153540240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153540240 is an abundant number, since it is smaller than the sum of its proper divisors (390436848).

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

153540240 is a wasteful number, since it uses less digits than its factorization.

153540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91416 (or 91410 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 153540240 is about 12391.1355411843. The cubic root of 153540240 is about 535.4768973879.

Adding to 153540240 its reverse (42045351), we get a palindrome (195585591).

The spelling of 153540240 in words is "one hundred fifty-three million, five hundred forty thousand, two hundred forty".