135629316 has 45 divisors (see below), whose sum is σ = 355110679. Its totient is φ = 45139896.

The previous prime is 135629311. The next prime is 135629341. The reversal of 135629316 is 613926531.

The square root of 135629316 is 11646.

It is a perfect power (a square), and thus also a powerful number.

135629316 is a `hidden beast` number, since 1 + 3 + 562 + 93 + 1 + 6 = 666.

It is a super-2 number, since 2×135629316² = 36790622717255712, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135629311) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 209305 + ... + 209951.

Almost surely, 2^135629316 is an apocalyptic number.

135629316 is the 11646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135629316

135629316 is an abundant number, since it is smaller than the sum of its proper divisors (219481363).

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

135629316 is an frugal number, since it uses more digits than its factorization.

135629316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 652 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The cubic root of 135629316 is about 513.7886709662.

Multiplying 135629316 by its sum of digits (36), we get a square (4882655376 = 69876²).

135629316 divided by its sum of digits (36) gives a square (3767481 = 1941²).

The spelling of 135629316 in words is "one hundred thirty-five million, six hundred twenty-nine thousand, three hundred sixteen".