153141225440 has 192 divisors, whose sum is σ = 427945327488. Its totient is φ = 50695372800.

The previous prime is 153141225403. The next prime is 153141225449. The reversal of 153141225440 is 44522141351.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 153141225397 and 153141225406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153141225449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4437050 + ... + 4471430.

It is an arithmetic number, because the mean of its divisors is an integer number (2228881914).

Almost surely, 2^153141225440 is an apocalyptic number.

153141225440 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 153141225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213972663744).

153141225440 is an abundant number, since it is smaller than the sum of its proper divisors (274804102048).

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

153141225440 is a wasteful number, since it uses less digits than its factorization.

153141225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34541 (or 34533 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 153141225440 its reverse (44522141351), we get a palindrome (197663366791).

The spelling of 153141225440 in words is "one hundred fifty-three billion, one hundred forty-one million, two hundred twenty-five thousand, four hundred forty".