136577220 has 144 divisors (see below), whose sum is σ = 431817792. Its totient is φ = 32060160.

The previous prime is 136577219. The next prime is 136577251. The reversal of 136577220 is 22775631.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412455 + ... + 412785.

Almost surely, 2^136577220 is an apocalyptic number.

136577220 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 136577220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215908896).

136577220 is an abundant number, since it is smaller than the sum of its proper divisors (295240572).

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

136577220 is a wasteful number, since it uses less digits than its factorization.

136577220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 136577220 is about 11686.6256892227. The cubic root of 136577220 is about 514.9828378986.

The spelling of 136577220 in words is "one hundred thirty-six million, five hundred seventy-seven thousand, two hundred twenty".