137894616 has 144 divisors (see below), whose sum is σ = 415739400. Its totient is φ = 42340608.

The previous prime is 137894611. The next prime is 137894621. The reversal of 137894616 is 616498731.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (137894611) and next prime (137894621).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137894611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2933905 + ... + 2933951.

Almost surely, 2^137894616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137894616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207869700).

137894616 is an abundant number, since it is smaller than the sum of its proper divisors (277844784).

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

137894616 is a wasteful number, since it uses less digits than its factorization.

137894616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 69 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 137894616 is about 11742.8538269026. The cubic root of 137894616 is about 516.6333488516.

The spelling of 137894616 in words is "one hundred thirty-seven million, eight hundred ninety-four thousand, six hundred sixteen".