153344840 has 64 divisors (see below), whose sum is σ = 379080000. Its totient is φ = 55363840.

The previous prime is 153344831. The next prime is 153344857. The reversal of 153344840 is 48443351.

It is a junction number, because it is equal to n+sod(n) for n = 153344797 and 153344806.

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 15 ways as a sum of consecutive naturals, for example, 64391 + ... + 66729.

It is an arithmetic number, because the mean of its divisors is an integer number (5923125).

Almost surely, 2^153344840 is an apocalyptic number.

153344840 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 153344840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189540000).

153344840 is an abundant number, since it is smaller than the sum of its proper divisors (225735160).

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

153344840 is a wasteful number, since it uses less digits than its factorization.

153344840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 153344840 is about 12383.2483622029. The cubic root of 153344840 is about 535.2496462057.

The spelling of 153344840 in words is "one hundred fifty-three million, three hundred forty-four thousand, eight hundred forty".