136668416 has 72 divisors (see below), whose sum is σ = 289737000. Its totient is φ = 64225280.

The previous prime is 136668407. The next prime is 136668431. The reversal of 136668416 is 614866631.

It can be written as a sum of positive squares in 4 ways, for example, as 4326400 + 132342016 = 2080^2 + 11504^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304160 + ... + 304608.

It is an arithmetic number, because the mean of its divisors is an integer number (4024125).

Almost surely, 2^136668416 is an apocalyptic number.

136668416 is a gapful number since it is divisible by the number (16) 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 136668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144868500).

136668416 is an abundant number, since it is smaller than the sum of its proper divisors (153068584).

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

136668416 is an equidigital number, since it uses as much as digits as its factorization.

136668416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 521 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 136668416 is about 11690.5267631531. The cubic root of 136668416 is about 515.0974346707.

The spelling of 136668416 in words is "one hundred thirty-six million, six hundred sixty-eight thousand, four hundred sixteen".