136988416 has 36 divisors (see below), whose sum is σ = 274918000. Its totient is φ = 68124672.

The previous prime is 136988407. The next prime is 136988419. The reversal of 136988416 is 614889631.

It is a super-2 number, since 2×136988416² = 37531652236378112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136988419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49600 + ... + 52288.

Almost surely, 2^136988416 is an apocalyptic number.

136988416 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 136988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137459000).

136988416 is an abundant number, since it is smaller than the sum of its proper divisors (137929584).

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

136988416 is an equidigital number, since it uses as much as digits as its factorization.

136988416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2890 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The square root of 136988416 is about 11704.2050563035. The cubic root of 136988416 is about 515.4991434291.

The spelling of 136988416 in words is "one hundred thirty-six million, nine hundred eighty-eight thousand, four hundred sixteen".