153414132144 has 240 divisors, whose sum is σ = 497061623520. Its totient is φ = 40414187520.

The previous prime is 153414132119. The next prime is 153414132149. The reversal of 153414132144 is 441231414351.

It is not an unprimeable number, because it can be changed into a prime (153414132149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32438772 + ... + 32443500.

It is an arithmetic number, because the mean of its divisors is an integer number (2071090098).

Almost surely, 2^153414132144 is an apocalyptic number.

153414132144 is a gapful number since it is divisible by the number (14) 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 153414132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248530811760).

153414132144 is an abundant number, since it is smaller than the sum of its proper divisors (343647491376).

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

153414132144 is a wasteful number, since it uses less digits than its factorization.

153414132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828 (or 5815 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

Adding to 153414132144 its reverse (441231414351), we get a palindrome (594645546495).

The spelling of 153414132144 in words is "one hundred fifty-three billion, four hundred fourteen million, one hundred thirty-two thousand, one hundred forty-four".