135745632 has 252 divisors, whose sum is σ = 456948324. Its totient is φ = 39346560.

The previous prime is 135745627. The next prime is 135745639. The reversal of 135745632 is 236547531.

135745632 is a `hidden beast` number, since 1 + 3 + 574 + 56 + 32 = 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 (135745639) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 5901973 + ... + 5901995.

It is an arithmetic number, because the mean of its divisors is an integer number (1813287).

Almost surely, 2^135745632 is an apocalyptic number.

135745632 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 135745632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228474162).

135745632 is an abundant number, since it is smaller than the sum of its proper divisors (321202692).

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

135745632 is an equidigital number, since it uses as much as digits as its factorization.

135745632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 39 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 135745632 is about 11650.9927474014. The cubic root of 135745632 is about 513.9355044311.

The spelling of 135745632 in words is "one hundred thirty-five million, seven hundred forty-five thousand, six hundred thirty-two".