137093616 has 240 divisors, whose sum is σ = 451256832. Its totient is φ = 38438400.

The previous prime is 137093611. The next prime is 137093629. The reversal of 137093616 is 616390731.

137093616 is a `hidden beast` number, since 1 + 37 + 0 + 9 + 3 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137093611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930861 + ... + 1930931.

Almost surely, 2^137093616 is an apocalyptic number.

137093616 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 137093616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225628416).

137093616 is an abundant number, since it is smaller than the sum of its proper divisors (314163216).

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

137093616 is a wasteful number, since it uses less digits than its factorization.

137093616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 137093616 is about 11708.6983051063. The cubic root of 137093616 is about 515.6310685346.

The spelling of 137093616 in words is "one hundred thirty-seven million, ninety-three thousand, six hundred sixteen".