137920104 has 192 divisors, whose sum is σ = 453902400. Its totient is φ = 38683008.

The previous prime is 137920073. The next prime is 137920163. The reversal of 137920104 is 401029731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 878394 + ... + 878550.

It is an arithmetic number, because the mean of its divisors is an integer number (2364075).

Almost surely, 2^137920104 is an apocalyptic number.

137920104 is a gapful number since it is divisible by the number (14) 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 137920104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226951200).

137920104 is an abundant number, since it is smaller than the sum of its proper divisors (315982296).

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

137920104 is a wasteful number, since it uses less digits than its factorization.

137920104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 137920104 is about 11743.9390325393. The cubic root of 137920104 is about 516.6651778429.

Adding to 137920104 its reverse (401029731), we get a palindrome (538949835).

The spelling of 137920104 in words is "one hundred thirty-seven million, nine hundred twenty thousand, one hundred four".