135307022303232 has 1400 divisors, whose sum is σ = 468266311683744. Its totient is φ = 38746510589952.

The previous prime is 135307022303227. The next prime is 135307022303239. The reversal of 135307022303232 is 232303220703531.

135307022303232 is a `hidden beast` number, since 1 + 3 + 5 + 30 + 70 + 2 + 230 + 323 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135307022303239) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3656946548718 + ... + 3656946548754.

Almost surely, 2^{135307022303232} is an apocalyptic number.

135307022303232 is a gapful number since it is divisible by the number (12) 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 135307022303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234133155841872).

135307022303232 is an abundant number, since it is smaller than the sum of its proper divisors (332959289380512).

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

135307022303232 is an frugal number, since it uses more digits than its factorization.

135307022303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The spelling of 135307022303232 in words is "one hundred thirty-five trillion, three hundred seven billion, twenty-two million, three hundred three thousand, two hundred thirty-two".