135676632 has 256 divisors, whose sum is σ = 453519360. Its totient is φ = 32845824.

The previous prime is 135676631. The next prime is 135676637. The reversal of 135676632 is 236676531.

135676632 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (136080) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135676631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1858548 + ... + 1858620.

It is an arithmetic number, because the mean of its divisors is an integer number (1771560).

Almost surely, 2^135676632 is an apocalyptic number.

135676632 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 135676632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226759680).

135676632 is an abundant number, since it is smaller than the sum of its proper divisors (317842728).

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

135676632 is a wasteful number, since it uses less digits than its factorization.

135676632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 135676632 is about 11648.0312499581. The cubic root of 135676632 is about 513.8484112422.

The spelling of 135676632 in words is "one hundred thirty-five million, six hundred seventy-six thousand, six hundred thirty-two".