136442880 has 440 divisors, whose sum is σ = 570670848. Its totient is φ = 30523392.

The previous prime is 136442879. The next prime is 136442881. The reversal of 136442880 is 88244631.

136442880 is a `hidden beast` number, since 1 + 3 + 644 + 2 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136442879) and next prime (136442881).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136442881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2903017 + ... + 2903063.

Almost surely, 2^136442880 is an apocalyptic number.

136442880 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 136442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285335424).

136442880 is an abundant number, since it is smaller than the sum of its proper divisors (434227968).

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

136442880 is an equidigital number, since it uses as much as digits as its factorization.

136442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 136442880 is about 11680.8766794278. The cubic root of 136442880 is about 514.8139334746.

It can be divided in two parts, 1364 and 42880, that added together give a palindrome (44244).

The spelling of 136442880 in words is "one hundred thirty-six million, four hundred forty-two thousand, eight hundred eighty".