153898420 has 48 divisors (see below), whose sum is σ = 356560848. Its totient is φ = 55434240.

The previous prime is 153898411. The next prime is 153898453. The reversal of 153898420 is 24898351.

It can be written as a sum of positive squares in 8 ways, for example, as 41835024 + 112063396 = 6468^2 + 10586^2 .

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 15 ways as a sum of consecutive naturals, for example, 3442 + ... + 17878.

It is an arithmetic number, because the mean of its divisors is an integer number (7428351).

Almost surely, 2^153898420 is an apocalyptic number.

153898420 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 153898420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178280424).

153898420 is an abundant number, since it is smaller than the sum of its proper divisors (202662428).

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

153898420 is a wasteful number, since it uses less digits than its factorization.

153898420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14500 (or 14498 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 153898420 is about 12405.5801960247. The cubic root of 153898420 is about 535.8929624015.

The spelling of 153898420 in words is "one hundred fifty-three million, eight hundred ninety-eight thousand, four hundred twenty".