135865632 has 144 divisors (see below), whose sum is σ = 439538400. Its totient is φ = 36513792.

The previous prime is 135865627. The next prime is 135865633. The reversal of 135865632 is 236568531.

Its product of digits (129600) is a multiple of the sum of its prime divisors (1728).

It is not an unprimeable number, because it can be changed into a prime (135865633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79119 + ... + 80817.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2^135865632 is an apocalyptic number.

135865632 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 135865632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219769200).

135865632 is an abundant number, since it is smaller than the sum of its proper divisors (303672768).

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

135865632 is a wasteful number, since it uses less digits than its factorization.

135865632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1728 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 135865632 is about 11656.1413855529. The cubic root of 135865632 is about 514.0869005771.

The spelling of 135865632 in words is "one hundred thirty-five million, eight hundred sixty-five thousand, six hundred thirty-two".