135433348470 has 192 divisors, whose sum is σ = 409020917760. Its totient is φ = 30452454144.

The previous prime is 135433348433. The next prime is 135433348471. The reversal of 135433348470 is 74843334531.

135433348470 is a `hidden beast` number, since 1 + 3 + 543 + 3 + 34 + 8 + 4 + 70 = 666.

It is a super-3 number, since 3×135433348470³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135433348471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12491892 + ... + 12502728.

It is an arithmetic number, because the mean of its divisors is an integer number (2130317280).

Almost surely, 2^135433348470 is an apocalyptic number.

135433348470 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 135433348470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204510458880).

135433348470 is an abundant number, since it is smaller than the sum of its proper divisors (273587569290).

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

135433348470 is a wasteful number, since it uses less digits than its factorization.

135433348470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11179 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 135433348470 in words is "one hundred thirty-five billion, four hundred thirty-three million, three hundred forty-eight thousand, four hundred seventy".