153456240 has 120 divisors (see below), whose sum is σ = 553424400. Its totient is φ = 35073024.

The previous prime is 153456209. The next prime is 153456241. The reversal of 153456240 is 42654351.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 153456198 and 153456207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153456241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5236 + ... + 18284.

It is an arithmetic number, because the mean of its divisors is an integer number (4611870).

Almost surely, 2^153456240 is an apocalyptic number.

153456240 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 153456240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276712200).

153456240 is an abundant number, since it is smaller than the sum of its proper divisors (399968160).

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

153456240 is a wasteful number, since it uses less digits than its factorization.

153456240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13079 (or 13066 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 153456240 is about 12387.7455576065. The cubic root of 153456240 is about 535.3792286062.

The spelling of 153456240 in words is "one hundred fifty-three million, four hundred fifty-six thousand, two hundred forty".