137548116 has 72 divisors (see below), whose sum is σ = 365164800. Its totient is φ = 43597440.

The previous prime is 137548111. The next prime is 137548123. The reversal of 137548116 is 611845731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137548111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64800 + ... + 66888.

Almost surely, 2^137548116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137548116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182582400).

137548116 is an abundant number, since it is smaller than the sum of its proper divisors (227616684).

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

137548116 is a wasteful number, since it uses less digits than its factorization.

137548116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2184 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 137548116 is about 11728.0908932358. The cubic root of 137548116 is about 516.2002557858.

The spelling of 137548116 in words is "one hundred thirty-seven million, five hundred forty-eight thousand, one hundred sixteen".