137796492 has 48 divisors (see below), whose sum is σ = 343617120. Its totient is φ = 42826752.

The previous prime is 137796481. The next prime is 137796497. The reversal of 137796492 is 294697731.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (137796497) 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 15 ways as a sum of consecutive naturals, for example, 19138 + ... + 25334.

It is an arithmetic number, because the mean of its divisors is an integer number (7158690).

Almost surely, 2^137796492 is an apocalyptic number.

137796492 is a gapful number since it is divisible by the number (12) 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 137796492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171808560).

137796492 is an abundant number, since it is smaller than the sum of its proper divisors (205820628).

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

137796492 is a wasteful number, since it uses less digits than its factorization.

137796492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6328 counting only the distinct ones).

The product of its digits is 571536, while the sum is 48.

The square root of 137796492 is about 11738.6750530032. The cubic root of 137796492 is about 516.5107766019.

The spelling of 137796492 in words is "one hundred thirty-seven million, seven hundred ninety-six thousand, four hundred ninety-two".