153120240 has 640 divisors, whose sum is σ = 699955200. Its totient is φ = 29859840.

The previous prime is 153120229. The next prime is 153120271. The reversal of 153120240 is 42021351.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3734620 + ... + 3734660.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^153120240 is an apocalyptic number.

153120240 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 153120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349977600).

153120240 is an abundant number, since it is smaller than the sum of its proper divisors (546834960).

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

153120240 is a wasteful number, since it uses less digits than its factorization.

153120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 153120240 is about 12374.1763362254. The cubic root of 153120240 is about 534.9881966709.

Adding to 153120240 its reverse (42021351), we get a palindrome (195141591).

The spelling of 153120240 in words is "one hundred fifty-three million, one hundred twenty thousand, two hundred forty".