153985440 has 144 divisors (see below), whose sum is σ = 564332832. Its totient is φ = 35191296.

The previous prime is 153985427. The next prime is 153985459. The reversal of 153985440 is 44589351.

153985440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 20247 + ... + 26793.

It is an arithmetic number, because the mean of its divisors is an integer number (3918978).

Almost surely, 2^153985440 is an apocalyptic number.

153985440 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 153985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282166416).

153985440 is an abundant number, since it is smaller than the sum of its proper divisors (410347392).

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

153985440 is a wasteful number, since it uses less digits than its factorization.

153985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 153985440 is about 12409.0869930064. The cubic root of 153985440 is about 535.9939481013.

The spelling of 153985440 in words is "one hundred fifty-three million, nine hundred eighty-five thousand, four hundred forty".