137661216 has 144 divisors (see below), whose sum is σ = 454208832. Its totient is φ = 35735040.

The previous prime is 137661191. The next prime is 137661221. The reversal of 137661216 is 612166731.

It is a super-2 number, since 2×137661216² = 37901220781197312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80466 + ... + 82158.

It is an arithmetic number, because the mean of its divisors is an integer number (3154228).

Almost surely, 2^137661216 is an apocalyptic number.

137661216 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 137661216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227104416).

137661216 is an abundant number, since it is smaller than the sum of its proper divisors (316547616).

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

137661216 is a wasteful number, since it uses less digits than its factorization.

137661216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1716 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 137661216 is about 11732.9116590896. The cubic root of 137661216 is about 516.3417002397.

The spelling of 137661216 in words is "one hundred thirty-seven million, six hundred sixty-one thousand, two hundred sixteen".