135322686450 has 360 divisors, whose sum is σ = 444108557376. Its totient is φ = 29927102400.

The previous prime is 135322686439. The next prime is 135322686461. The reversal of 135322686450 is 54686223531.

135322686450 is a `hidden beast` number, since 1 + 3 + 532 + 2 + 6 + 8 + 64 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (135322686439) and next prime (135322686461).

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

It is a junction number, because it is equal to n+sod(n) for n = 135322686396 and 135322686405.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 27241867 + ... + 27246833.

Almost surely, 2^135322686450 is an apocalyptic number.

135322686450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135322686450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222054278688).

135322686450 is an abundant number, since it is smaller than the sum of its proper divisors (308785870926).

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

135322686450 is a wasteful number, since it uses less digits than its factorization.

135322686450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 135322686450 in words is "one hundred thirty-five billion, three hundred twenty-two million, six hundred eighty-six thousand, four hundred fifty".