153413343120 has 320 divisors, whose sum is σ = 534594355200. Its totient is φ = 36212520960.

The previous prime is 153413343113. The next prime is 153413343143. The reversal of 153413343120 is 21343314351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4080729 + ... + 4118151.

It is an arithmetic number, because the mean of its divisors is an integer number (1670607360).

Almost surely, 2^153413343120 is an apocalyptic number.

153413343120 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 153413343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267297177600).

153413343120 is an abundant number, since it is smaller than the sum of its proper divisors (381181012080).

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

153413343120 is a wasteful number, since it uses less digits than its factorization.

153413343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37518 (or 37512 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 153413343120 its reverse (21343314351), we get a palindrome (174756657471).

The spelling of 153413343120 in words is "one hundred fifty-three billion, four hundred thirteen million, three hundred forty-three thousand, one hundred twenty".