137133696 has 128 divisors (see below), whose sum is σ = 440933760. Its totient is φ = 36864000.

The previous prime is 137133629. The next prime is 137133701. The reversal of 137133696 is 696331731.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44196 + ... + 47196.

It is an arithmetic number, because the mean of its divisors is an integer number (3444795).

Almost surely, 2^137133696 is an apocalyptic number.

137133696 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 137133696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220466880).

137133696 is an abundant number, since it is smaller than the sum of its proper divisors (303800064).

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

137133696 is a wasteful number, since it uses less digits than its factorization.

137133696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3030 counting only the distinct ones).

The product of its digits is 61236, while the sum is 39.

The square root of 137133696 is about 11710.4097281009. The cubic root of 137133696 is about 515.6813127404.

The spelling of 137133696 in words is "one hundred thirty-seven million, one hundred thirty-three thousand, six hundred ninety-six".