135953664 has 288 divisors, whose sum is σ = 478786560. Its totient is φ = 33454080.

The previous prime is 135953633. The next prime is 135953681. The reversal of 135953664 is 466359531.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7155447 + ... + 7155465.

Almost surely, 2^135953664 is an apocalyptic number.

135953664 is a gapful number since it is divisible by the number (14) 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 135953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239393280).

135953664 is an abundant number, since it is smaller than the sum of its proper divisors (342832896).

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

135953664 is an equidigital number, since it uses as much as digits as its factorization.

135953664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 135953664 is about 11659.9169808365. The cubic root of 135953664 is about 514.1979081134.

The spelling of 135953664 in words is "one hundred thirty-five million, nine hundred fifty-three thousand, six hundred sixty-four".