135109632 has 176 divisors, whose sum is σ = 422369792. Its totient is φ = 37601280.

The previous prime is 135109609. The next prime is 135109633. The reversal of 135109632 is 236901531.

It is a super-2 number, since 2×135109632² = 36509225318350848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135109632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135109633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1311693 + ... + 1311795.

Almost surely, 2^135109632 is an apocalyptic number.

135109632 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 135109632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211184896).

135109632 is an abundant number, since it is smaller than the sum of its proper divisors (287260160).

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

135109632 is a wasteful number, since it uses less digits than its factorization.

135109632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 135109632 is about 11623.6668913041. Note that the first 3 decimals coincide. The cubic root of 135109632 is about 513.1316116763.

The spelling of 135109632 in words is "one hundred thirty-five million, one hundred nine thousand, six hundred thirty-two".