135251493933120 has 448 divisors, whose sum is σ = 466773979262976. Its totient is φ = 33047990599680.

The previous prime is 135251493933071. The next prime is 135251493933133. The reversal of 135251493933120 is 21339394152531.

It is a super-2 number, since 2×135251493933120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 215126425 + ... + 215754215.

It is an arithmetic number, because the mean of its divisors is an integer number (1041906203712).

Almost surely, 2^{135251493933120} is an apocalyptic number.

135251493933120 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 135251493933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233386989631488).

135251493933120 is an abundant number, since it is smaller than the sum of its proper divisors (331522485329856).

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

135251493933120 is a wasteful number, since it uses less digits than its factorization.

135251493933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628178 (or 628168 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 51.

The spelling of 135251493933120 in words is "one hundred thirty-five trillion, two hundred fifty-one billion, four hundred ninety-three million, nine hundred thirty-three thousand, one hundred twenty".