153354240 has 228 divisors, whose sum is σ = 572521404. Its totient is φ = 37748736.

The previous prime is 153354217. The next prime is 153354251. The reversal of 153354240 is 42453351.

It can be written as a sum of positive squares in 2 ways, for example, as 37748736 + 115605504 = 6144^2 + 10752^2 .

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11796474 + ... + 11796486.

Almost surely, 2^153354240 is an apocalyptic number.

153354240 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 153354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286260702).

153354240 is an abundant number, since it is smaller than the sum of its proper divisors (419167164).

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

153354240 is an frugal number, since it uses more digits than its factorization.

153354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 153354240 is about 12383.6279013866. The cubic root of 153354240 is about 535.2605828716.

The spelling of 153354240 in words is "one hundred fifty-three million, three hundred fifty-four thousand, two hundred forty".