135451350233160 has 256 divisors, whose sum is σ = 439169657794560. Its totient is φ = 33223261916160.

The previous prime is 135451350233159. The next prime is 135451350233161. The reversal of 135451350233160 is 61332053154531.

It is an interprime number because it is at equal distance from previous prime (135451350233159) and next prime (135451350233161).

It is not an unprimeable number, because it can be changed into a prime (135451350233161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1658459125 + ... + 1658540795.

It is an arithmetic number, because the mean of its divisors is an integer number (1715506475760).

Almost surely, 2^{135451350233160} is an apocalyptic number.

135451350233160 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 135451350233160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219584828897280).

135451350233160 is an abundant number, since it is smaller than the sum of its proper divisors (303718307561400).

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

135451350233160 is a wasteful number, since it uses less digits than its factorization.

135451350233160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85468 (or 85464 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 135451350233160 in words is "one hundred thirty-five trillion, four hundred fifty-one billion, three hundred fifty million, two hundred thirty-three thousand, one hundred sixty".