135766020 has 96 divisors (see below), whose sum is σ = 430980480. Its totient is φ = 31656960.

The previous prime is 135766013. The next prime is 135766067. The reversal of 135766020 is 20667531.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10240 + ... + 19400.

It is an arithmetic number, because the mean of its divisors is an integer number (4489380).

Almost surely, 2^135766020 is an apocalyptic number.

135766020 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 135766020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215490240).

135766020 is an abundant number, since it is smaller than the sum of its proper divisors (295214460).

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

135766020 is a wasteful number, since it uses less digits than its factorization.

135766020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9205 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 135766020 is about 11651.8676614524. The cubic root of 135766020 is about 513.9612329263.

The spelling of 135766020 in words is "one hundred thirty-five million, seven hundred sixty-six thousand, twenty".