137119136 has 72 divisors (see below), whose sum is σ = 339181920. Its totient is φ = 53412480.

The previous prime is 137119133. The next prime is 137119153. The reversal of 137119136 is 631911731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (137119133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24575 + ... + 29633.

It is an arithmetic number, because the mean of its divisors is an integer number (4710860).

Almost surely, 2^137119136 is an apocalyptic number.

137119136 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 137119136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169590960).

137119136 is an abundant number, since it is smaller than the sum of its proper divisors (202062784).

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

137119136 is a wasteful number, since it uses less digits than its factorization.

137119136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098 (or 5079 counting only the distinct ones).

The product of its digits is 3402, while the sum is 32.

The square root of 137119136 is about 11709.7880424882. The cubic root of 137119136 is about 515.6630614867.

The spelling of 137119136 in words is "one hundred thirty-seven million, one hundred nineteen thousand, one hundred thirty-six".