135251455353300 has 432 divisors, whose sum is σ = 502460842822848. Its totient is φ = 29998215475200.

The previous prime is 135251455353277. The next prime is 135251455353317. The reversal of 135251455353300 is 3353554152531.

135251455353300 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 5 + 14 + 553 + 53 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9893079 + ... + 19193121.

Almost surely, 2^{135251455353300} is an apocalyptic number.

135251455353300 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 135251455353300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251230421411424).

135251455353300 is an abundant number, since it is smaller than the sum of its proper divisors (367209387469548).

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

135251455353300 is a wasteful number, since it uses less digits than its factorization.

135251455353300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9300200 (or 9300190 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 45.

The spelling of 135251455353300 in words is "one hundred thirty-five trillion, two hundred fifty-one billion, four hundred fifty-five million, three hundred fifty-three thousand, three hundred".