153131420 has 48 divisors (see below), whose sum is σ = 347460960. Its totient is φ = 56353536.

The previous prime is 153131389. The next prime is 153131423. The reversal of 153131420 is 24131351.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 153131392 and 153131401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153131423) by changing a digit.

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, 96191 + ... + 97769.

It is an arithmetic number, because the mean of its divisors is an integer number (7238770).

Almost surely, 2^153131420 is an apocalyptic number.

153131420 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 153131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173730480).

153131420 is an abundant number, since it is smaller than the sum of its proper divisors (194329540).

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

153131420 is a wasteful number, since it uses less digits than its factorization.

153131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 153131420 is about 12374.6280752191. The cubic root of 153131420 is about 535.0012169885.

Adding to 153131420 its reverse (24131351), we get a palindrome (177262771).

The spelling of 153131420 in words is "one hundred fifty-three million, one hundred thirty-one thousand, four hundred twenty".