135697152 has 72 divisors (see below), whose sum is σ = 364690480. Its totient is φ = 44789760.

The previous prime is 135697147. The next prime is 135697153. The reversal of 135697152 is 251796531.

It is a super-2 number, since 2×135697152² = 36827434121822208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 135697152.

It is not an unprimeable number, because it can be changed into a prime (135697153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82902 + ... + 84522.

Almost surely, 2^135697152 is an apocalyptic number.

135697152 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 135697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182345240).

135697152 is an abundant number, since it is smaller than the sum of its proper divisors (228993328).

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

135697152 is a wasteful number, since it uses less digits than its factorization.

135697152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1735 counting only the distinct ones).

The product of its digits is 56700, while the sum is 39.

The square root of 135697152 is about 11648.9120522047. The cubic root of 135697152 is about 513.8743150836.

The spelling of 135697152 in words is "one hundred thirty-five million, six hundred ninety-seven thousand, one hundred fifty-two".