135660420 has 180 divisors, whose sum is σ = 495342540. Its totient is φ = 30989952.

The previous prime is 135660383. The next prime is 135660439. The reversal of 135660420 is 24066531.

135660420 is a `hidden beast` number, since 1 + 3 + 56 + 604 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 99082116 = 6048^2 + 9954^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78526 + ... + 80234.

It is an arithmetic number, because the mean of its divisors is an integer number (2751903).

Almost surely, 2^135660420 is an apocalyptic number.

135660420 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 135660420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247671270).

135660420 is an abundant number, since it is smaller than the sum of its proper divisors (359682120).

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

135660420 is a wasteful number, since it uses less digits than its factorization.

135660420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135660420 is about 11647.3353175737. The cubic root of 135660420 is about 513.8279438457.

It can be divided in two parts, 1356 and 60420, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 135660420 in words is "one hundred thirty-five million, six hundred sixty thousand, four hundred twenty".