137975910 has 128 divisors (see below), whose sum is σ = 382579200. Its totient is φ = 31610880.

The previous prime is 137975897. The next prime is 137975921. The reversal of 137975910 is 19579731.

137975910 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280765 + ... + 281255.

It is an arithmetic number, because the mean of its divisors is an integer number (2988900).

Almost surely, 2^137975910 is an apocalyptic number.

137975910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137975910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191289600).

137975910 is an abundant number, since it is smaller than the sum of its proper divisors (244603290).

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

137975910 is a wasteful number, since it uses less digits than its factorization.

137975910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566.

The product of its (nonzero) digits is 59535, while the sum is 42.

The square root of 137975910 is about 11746.3147412284. The cubic root of 137975910 is about 516.7348537593.

The spelling of 137975910 in words is "one hundred thirty-seven million, nine hundred seventy-five thousand, nine hundred ten".