135621760 has 64 divisors (see below), whose sum is σ = 328001400. Its totient is φ = 53616640.

The previous prime is 135621757. The next prime is 135621763. The reversal of 135621760 is 67126531.

It is an interprime number because it is at equal distance from previous prime (135621757) and next prime (135621763).

It can be written as a sum of positive squares in 4 ways, for example, as 38638656 + 96983104 = 6216^2 + 9848^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (135621763) 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, 55770 + ... + 58150.

Almost surely, 2^135621760 is an apocalyptic number.

135621760 is a gapful number since it is divisible by the number (10) 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 135621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164000700).

135621760 is an abundant number, since it is smaller than the sum of its proper divisors (192379640).

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

135621760 is an equidigital number, since it uses as much as digits as its factorization.

135621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 135621760 is about 11645.6755922531. The cubic root of 135621760 is about 513.7791296188.

The spelling of 135621760 in words is "one hundred thirty-five million, six hundred twenty-one thousand, seven hundred sixty".