135083971350 has 240 divisors, whose sum is σ = 385410028608. Its totient is φ = 35063746560.

The previous prime is 135083971349. The next prime is 135083971367. The reversal of 135083971350 is 53179380531.

135083971350 is a `hidden beast` number, since 1 + 3 + 508 + 3 + 9 + 7 + 135 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135083971296 and 135083971305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36735712 + ... + 36739388.

Almost surely, 2^135083971350 is an apocalyptic number.

135083971350 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 135083971350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192705014304).

135083971350 is an abundant number, since it is smaller than the sum of its proper divisors (250326057258).

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

135083971350 is a wasteful number, since it uses less digits than its factorization.

135083971350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 135083971350 in words is "one hundred thirty-five billion, eighty-three million, nine hundred seventy-one thousand, three hundred fifty".