137001216 has 72 divisors (see below), whose sum is σ = 397795104. Its totient is φ = 41512960.

The previous prime is 137001203. The next prime is 137001257. The reversal of 137001216 is 612100731.

It is a junction number, because it is equal to n+sod(n) for n = 137001192 and 137001201.

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, 340 + ... + 16556.

It is an arithmetic number, because the mean of its divisors is an integer number (5524932).

Almost surely, 2^137001216 is an apocalyptic number.

137001216 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 137001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198897552).

137001216 is an abundant number, since it is smaller than the sum of its proper divisors (260793888).

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

137001216 is a wasteful number, since it uses less digits than its factorization.

137001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16247 (or 16233 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 137001216 is about 11704.7518555500. The cubic root of 137001216 is about 515.5151987611.

Adding to 137001216 its reverse (612100731), we get a palindrome (749101947).

The spelling of 137001216 in words is "one hundred thirty-seven million, one thousand, two hundred sixteen".