137235616 has 48 divisors (see below), whose sum is σ = 313165440. Its totient is φ = 57980160.

The previous prime is 137235607. The next prime is 137235619. The reversal of 137235616 is 616532731.

137235616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137235616² = 37667228597798912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137235619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11590 + ... + 20218.

It is an arithmetic number, because the mean of its divisors is an integer number (6524280).

Almost surely, 2^137235616 is an apocalyptic number.

137235616 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 137235616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156582720).

137235616 is an abundant number, since it is smaller than the sum of its proper divisors (175929824).

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

137235616 is an equidigital number, since it uses as much as digits as its factorization.

137235616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8717 (or 8709 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 137235616 is about 11714.7606036146. The cubic root of 137235616 is about 515.8090353586.

The spelling of 137235616 in words is "one hundred thirty-seven million, two hundred thirty-five thousand, six hundred sixteen".