137581696 has 64 divisors (see below), whose sum is σ = 316673280. Its totient is φ = 58318848.

The previous prime is 137581673. The next prime is 137581711. The reversal of 137581696 is 696185731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

Its product of digits (272160) is a multiple of the sum of its prime factors (1701).

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, 86121 + ... + 87703.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2^137581696 is an apocalyptic number.

137581696 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 137581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158336640).

137581696 is an abundant number, since it is smaller than the sum of its proper divisors (179091584).

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

137581696 is an equidigital number, since it uses as much as digits as its factorization.

137581696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1689 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The square root of 137581696 is about 11729.5224114198. The cubic root of 137581696 is about 516.2422594974.

The spelling of 137581696 in words is "one hundred thirty-seven million, five hundred eighty-one thousand, six hundred ninety-six".