137457100 has 144 divisors (see below), whose sum is σ = 349977600. Its totient is φ = 46368000.

The previous prime is 137457097. The next prime is 137457107. The reversal of 137457100 is 1754731.

137457100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137457107) 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 47 ways as a sum of consecutive naturals, for example, 988831 + ... + 988969.

It is an arithmetic number, because the mean of its divisors is an integer number (2430400).

Almost surely, 2^137457100 is an apocalyptic number.

137457100 is a gapful number since it is divisible by the number (10) 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 137457100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

137457100 is an abundant number, since it is smaller than the sum of its proper divisors (212520500).

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

137457100 is a wasteful number, since it uses less digits than its factorization.

137457100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 137457100 is about 11724.2099947075. The cubic root of 137457100 is about 516.0863735786.

The spelling of 137457100 in words is "one hundred thirty-seven million, four hundred fifty-seven thousand, one hundred".