153340880 has 240 divisors, whose sum is σ = 468636672. Its totient is φ = 45619200.

The previous prime is 153340879. The next prime is 153340909. The reversal of 153340880 is 88043351.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2100524 + ... + 2100596.

Almost surely, 2^153340880 is an apocalyptic number.

153340880 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 153340880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234318336).

153340880 is an abundant number, since it is smaller than the sum of its proper divisors (315295792).

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

153340880 is a wasteful number, since it uses less digits than its factorization.

153340880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 153340880 is about 12383.0884677450. The cubic root of 153340880 is about 535.2450387105.

The spelling of 153340880 in words is "one hundred fifty-three million, three hundred forty thousand, eight hundred eighty".