153798240 has 96 divisors (see below), whose sum is σ = 505564416. Its totient is φ = 39226880.

The previous prime is 153798193. The next prime is 153798259. The reversal of 153798240 is 42897351.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4075 + ... + 18005.

It is an arithmetic number, because the mean of its divisors is an integer number (5266296).

Almost surely, 2^153798240 is an apocalyptic number.

153798240 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 153798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252782208).

153798240 is an abundant number, since it is smaller than the sum of its proper divisors (351766176).

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

153798240 is a wasteful number, since it uses less digits than its factorization.

153798240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13972 (or 13964 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 153798240 is about 12401.5418396262. The cubic root of 153798240 is about 535.7766575252.

The spelling of 153798240 in words is "one hundred fifty-three million, seven hundred ninety-eight thousand, two hundred forty".