135415514425500 has 144 divisors (see below), whose sum is σ = 427395923494176. Its totient is φ = 36093465388800.

The previous prime is 135415514425493. The next prime is 135415514425511. The reversal of 135415514425500 is 5524415514531.

135415514425500 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 1 + 5 + 51 + 4 + 42 + 550 + 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 47 ways as a sum of consecutive naturals, for example, 2150184 + ... + 16596816.

Almost surely, 2^{135415514425500} is an apocalyptic number.

135415514425500 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 135415514425500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213697961747088).

135415514425500 is an abundant number, since it is smaller than the sum of its proper divisors (291980409068676).

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

135415514425500 is a wasteful number, since it uses less digits than its factorization.

135415514425500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14448741 (or 14448726 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 135415514425500 in words is "one hundred thirty-five trillion, four hundred fifteen billion, five hundred fourteen million, four hundred twenty-five thousand, five hundred".